#Conditional pmf

[eretzyisrael]

ByQASSIM ABDUL-ZAHRA Associated Press and ABSEWELL Associated Press

BAGHDAD -- A U.S. airstrike on the headquarters of an Iran-backed militia in central Baghdad on Thursday killed a high-ranking militia commander, militia officials said.

Thursday’s strike comes amid mounting regional tensions fueled by the Israel-Hamas war and fears that it could spill over into surrounding countries. It also coincides with a push by Iraqi officials for US-led coalition forces to leave the country.

The Popular Mobilization Force, or PMF, a coalition of militias that is nominally under the control of the Iraqi military, announced in a statement that its deputy head of operations in Baghdad, identified as Abu Taqwa, had been killed “as a result of brutal American aggression.”

A U.S. defense official, who spoke on condition of anonymity to provide information that has not yet been publicly released, confirmed details of the strike Thursday, saying that Abu Taqwa was targeted because he was actively involved in attacks on U.S. personnel. Abu Taqwa was identified as a leader of the Harakat al-Nujaba group.

That group, one of the militias within PMF. was designated a terrorist organization by Washington in 2019.

[amin13864]

*The oppressed_resistance in Lebanon and its difficult circumstances and restrictions*

Besieged at all levels:

At the military and logistical level

*▪︎She must transfer the weapons without the knowledge of the Lebanese army, which is cooperating with her but is governed by politics*

*▪︎She must transfer her weapons to the south and not pass through the checkpoints of international forces or in front of their eyes, even though that is difficult and not possible*

*▪︎It must have its centers in the south, far from the villages and the homes of its people so as not to harm them, so it should move away towards forests and valleys, which makes it easier for the enemy to hunt it*

At the security and sectarian levels

*▪︎The resistance lives in a divided sectarian political society that harbors and displays hostility and attacks the resistance every day and at every hour. * It must offer others and not respond in order to preserve coexistence and national unity.

*▪︎The resistance lives and moves among two million displaced Syrians...the majority of whom are from the opposition, and Europe, America, the Arabs and the United Nations have kept them in Lebanon as a deposit for the promised day...to be the army of America and the Arabs to fight the resistance inside when the right moment comes*

*▪︎The resistance lives among about a million Palestinian refugees. They are divided between Fatah and the authority, which has security cooperation with the Israeli enemy, and Takfiri groups that fight the resistance for sectarian and political considerations. And allied organizations, governed by some caution at times.

*▪︎The resistance lives under the eyes of an army of agents, intelligence agencies, Arab and Western embassy crews, satellites, and spy planes in a small geographical area called South Lebanon, where the area of ​​​​operations is almost equal to the area of ​​operations in Gaza.*

Resistance_and_protect_its_people_in expatriation..

*▪︎The resistance lives in difficult circumstances. If one of its leaders or officials makes a political statement, the Arabs get angry and expel all those belonging to the Shiite sect...and the West gets angry and loses all merchants, students and expatriates from the Shiite sect...so the resistance is forced to remain silent some times to protect its people and expatriates, and because everyone is unable to eliminate it. They take revenge on its people from the sect by imprisonment, expulsion, or confiscation of money*

*▪︎ The resistance lives in a Lebanese society that warned it and declared that it would not receive its people fleeing the bombing, and this is part of the internal war against it. * Some of them raised the rent for their apartments by double what they were taking from Arab and foreign tourists and imposed payment for six months in advance, and this is what most people of the south cannot afford. He pushed him...to expel them indirectly or slaughter them with dollars!

*▪︎The resistance lives in conditions of sectarianism and retaliation at the level of the Arab world. Many want its head to accuse it of being the reason that Syria did not fall, helped the PMF in Iraq, helped Ansar Allah in Yemen, and delivered weapons to Palestine*

▪︎The resistance in Lebanon is oppressed and has been besieged for four years with its people and the Lebanese.

Sectarianly oppressed... besieged by the media, yet she is still fighting. She has not abandoned her principles, and only her patient, honorable, and loyal people remain with her. And yet she is fighting, and above all that, she is governed by the Sharia ruling. Written by the judge, Mr. Abdullah Ali Mutahhar Al-Dailami. Yemen.

[naija-stormy-gists]

PUFF ADDER

I dreamt in the dream, I was in the midst of elderly men in a remote village. We were all sitting in a semi-circle round an idol in a shrine. All the men including myself were putting on red robes. They were chanting incantations. At the time they stopped chanting, they asked me many questions I was unable to give answer to. One question they kept repeating was “why do you buy the calabash”? why do you buy the calabash? I was amaze at the question, which calabash? I asked. I looked at their faces, their faces were shinning like a mirror. I asked them again and again, which calabash? I woke up from the dream.

In 1999, I enlisted into the police force as a recruit constable. I was promoted to the corporal rank after serving ten years. The promotion was after the police strike action against stagnation and poor serving condition. In the police you have to learn fast to fit into the system. There slogans and other in house languages that will seem meaningless to others which the members of the force will comprehend and be alert to any unwholesome situation around them. Sometime you hear words like “uno de no de”, u de he nor stand well well na him sabi “. This mean you have to be smart to know what is happening around or you will be cheated. You will also hear “Na monkey go hang himself”. This is an indirect way to warn you against the problem you are inviting to yourself or you hear idiom like edon tey when yansh dey back”. He is telling you that he too experience to be easily deceived.

I was detained in the cell for three days. What was my offence? As I arrived police college for training, I was allocated a bed infested by bed bugs, the next day after enduring the bugs bite throughout the previous night I went to POWA shop and bought kerosene and pour on the bed to kill the bugs, unfortunately for me the provost marshal of the college was passing by, he immediately ordered for my detention. He charged me for “genocide of commandment pikns” – meaning the bugs in the college are commandant children, that must be treated with dignity. It was then myself and other new recruits learnt it was an offence to kill the bugs in the beds and chairs in the college. Beans prepared and served to recruits are often half cooked and contain stones. One of the first thing you learn in the force is “No complaint sir”. Even when you have serious issues bothering you.

After serving three years in the conventional police, I mobilized to police mobile force, on arrival at the MOPOL camp, the new arrivals were baptized. This ritual according to the Drill instructor is to drain away “A TURA” blood from the new mopol. PMF personnel call conventional police men “ATURA”. In the conventional police you are expected to be secretive, work and do things as individuals who should be ready to give account of his or her actions individually and not collectively, but the contrary is the case in the mobile force, Mopol will say “WE-ONE” meaning we are always there to support one another in all circumstances. Baptism of tear gas is one of the ritual to welcome new arrival to mopol base, new arrivals are gathered in a room and tear gased severally, anyone who attempt to escape are disqualified and sent packing from the camp. After three months training we were deployed to various duty points across the country. Mopol life is a mixture of fun and suffering. You need endurance to survive in the mopol. You will hear “mopol nor bi moi-moi”. Mopol songs are unique and convey words of encouragement to men during operations. Mopol men bear strange names like “mortuary”, dead body, ashewo barber, frustrated”.

When I asked frustrated why he is called frustrated. He said frequent transfers was used to frustrate him while in the conventional police. He said he was transferred to four different states within three years. Ashewo barber, when I inquire about the origin of the nickname I was told that before he join the police he use to move from one brothel to another to shave whores armpit and other part of their body for a fee. I was part of the contingent that restore peace to many warring communities like Offa/Erin ile, Share/Tsaragi, Ibira communal crises.

After five years in the mobile force, I was demobilized back to the conventional police force and I was posted to criminal investigation department as a detective. Working in the CID is another ball game altogether. In this section, I met many people of different character, die-hard armed robbers, hire assassins, con men and other dubious minded people. Criminals and detective play game of wit. Criminals are always prepare to outsmart detective and set bobo traps for them. The diabolical ones charm detectives who investigate their cases.

I investigated a case of stolen edifects and murder against Idiado Nando known by his nickname as “PUFF ADDER”. I regretted ever investigating this case. The puff Adder case is now my source of trauma, sorrow and regret. When Puff Adder was arrested and brought to the station, he was furious and resentful. He threatened every police men around, he said many heads will roll, that a snake can never be kept in captivity. His ranting was thought to be empty boast. Puff Adder is a habitual criminal, a jail-bird, who specializes in snatching expensive cars and stealing edifects from shrines which he sell to tourists at exorbitant prices. In this case I investigated puff Adder and his friend invaded ovator shrine at igiedunana. During the raid, they met the chief priests of the idol inside the shrine, they strangulated and went away with the idol. The people of igiedunana community revel the ovator idol. They believe their forefathers have been serving the idol for more than five hundred years. That the idol protect the community against natural disaster and other calamities. When search warrant was executed in Puff Adder residence, many incriminating items were recovered. It took six months to conclude investigation into the case.

Puff Adder paid two million naira bribe to settle the case. My predicament and misery started immediately I collected the money from Puff Adder uncle, an elderly man of about seventy years old. I felt sensation all over my body as I collected the money. Invisible creature like wall-gecko started crawling from my head to other parts of my body. When it move to my eyes, I will be blind until it craws away, when it move to my ears I will become deaf and when it craw into my brain, I will become insane until it craws away before I regain my sanity. I have suffered this for more than twenty years now.

I lost my service pistol in a mysterious circumstance and was detained for six months after which I was tried in orderly room and dismissed from the police force for negligence and lost of government property. My wife left me, she said a man who cannot perform his conjugal and financial role is not expected to have a wife. Before this time I suffer from erectile dysfunction and I lost my manhood. My ten years old son dies. He was electrocuted in his room, he was making an attempt to plug video game to the socket. My wife felt it will be a waste of her time to remain with me since I am not in the position to father another child. Hence she decided to leave.

With the narrative so far, you will understand the dream I had. That I bought my calabash of calamity and sorry from Puff Adder with the two million naira bribe I collected to set him free from the case of killing ovator idol priest and stealing the idol. I considered two options with the same goal, to end it with sniper or ota-piapia solution.

However, on a second thought I decided to stay alive to be a tragic example to police officers and other law enforcement officers who are involve in dubious ways of performing their duties.

[danataibmenmy]

The chief of staff of Iraq's PMF's says the current conditions in the region are alarming for a war as a consequence of Israel's relentless war on Palestine and the Gaza Strip.

[crimechannels]

By • Olalekan Fagbade Injured Police officer to receive National Award, best treatment — Police Service Commission In a bid to reward excellence in service and professional diligence, the Police Service Commission has said it would give a national award to the Deputy Superintendent of Police, Musa Mohammed of Police Mobile Force (PMF) 45 Abuja, who sustained serious injuries at Galadimawa Forest, near Kaduna, when he led a team to engage kidnappers in a gun duel in an attempt to rescue a kidnapped victim. This was disclosed in a statement made available to newsmen in Abuja on Tuesday by the spokesperson of the Commission, Mr Ikechukwu Ani. According to the statement, the PSC also said DSP Mohammed, would also get the best medical treatment for the bullet wounds he sustained during the gun duel, which affected his leg and ability to pass urine, making him to walk on crutches. The statement said: “The injured Officer had taken his case to Human Rights Radio (Berekete) in Abuja, where he sought intervention from relevant Government Agencies after he felt he may have been abandoned.” But the PSC Chairman, Dr Solomon Arase, a retired Inspector General of Police who was contacted by the Radio station, had since moved to rectify the situation and restore the affected Officer to a proper and normal life. According to the statement, Dr. Arase had succeeded in debriefing the Officer and had also sent him to the Force Medical Officer, where he had undergone several medical procedures. Dr Arase, who commended the Police Force Medical Team presently taking care of his condition, also assured that he would take the matter up with the Inspector General of Police, IGP Kayode Adeolu Egbetokun, as a way forward to seek better treatment for the injured Mobile Police Officer. The statement added that Dr. Arase promised that the Commission would not abandon the Officer, stating, “PSC has this position that such Officers are deserving of national awards. They should be celebrated, and we will make the recommendation,” he noted. The statement further noted that the PSC Chairman said the Commission would ensure that he receives succour to enable him to live his normal life again. He commended Nigerians who rose in unison to bring the condition of the Officer to the public’s attention, saying, “It underscores the need for public Officers to always respect the human rights of citizens and treat them with respect.”

[jacob-cs]

MIT RES.6-012 Introduction to Probability 7강

L07.2 Conditional PMFs https://youtu.be/T_Q3M_HV94w

L07.3 Conditional Expectation & the Total Expectation Theorem https://youtu.be/vJAG4EzSQZA

L07.4 Independence of Random Variables https://youtu.be/F6H50Hbulbk

L07.5 Example https://youtu.be/JsEvwRGa1JA

L07.6 Independence & Expectations https://youtu.be/R4nGGs0m7lo

L07.7 Independence, Variances & the Binomial Variance https://youtu.be/YQ26hzI4OJk

[pmfpartner]

Hard Money Lenders No Credit Check - PMF PARTNERS

Private money lenders offer you more flexibility in terms than traditional lending institutions. However, within the majority of cases, the length of the loan is going to be much shorter than normal loans or mortgages. Usually, the terms are around 2 – 5 years maximum, and their interest is going to be higher. However, they won’t need to ask an inventory of stringent conditions or board members who are imposing regulations, and not having to try to to this accelerates the method.

It is pretty simple to use for a personal hard money loan. First, you'll get to present them together with your financial data – if that's for your business that you simply are taking the loan against, or if it's your own personal net worth.

PMF Partners, LLC provides its clients with the chance to shut their financial loans promptly. PMF Partners, LLC does a superb job in determining truth value of the deal. If you would like money contact PMF Partners, LLC.

[peertechz]

Chronic myeloid leukemia mimicking primary myelofibrosis: A case report

Bone marrow fibrosis leading to dry tap aspiration and often associated with blast crisis has previously been reported in both Chronic myeloid leukemia and Primary myelofibrosis. The similarities between these two conditions in terms of clinical presentation and morphology can really create a diagnostic dilemma. Here we present a case of Chronic myeloid leukemia in fibrosis and blast crisis in a 32 year old lady which closely resembled Primary myelofibrosis in transformation. All myeloproliferative neoplasms can undergo blast transformation. In this case, the detection of Philadelphia chromosome helped to distinguish Chronic myeloid leukemia from other myeloproliferative neoplasms. Myeloproliferative Neoplasm (MPN) results from unchecked proliferation of the cellular elements in the bone marrow characterized by panmyelosis and accompanied by erythrocytosis, granulocytosis, and/or thrombocytosis in the peripheral blood. Although trilineage cell involvement is characteristic of MPN, a single cell line is more prominently affected. The primary defect in MPN is in the pleuripotent hematopoietic stem cell. The Philadelphia chromosome containing BCR-ABL1 fusion gene is found in all hematopoietic cells in patients with Chronic Myeloid Leukemia (CML), while Janus Kinase (JAK2) gene was found to be mutated in almost all cases of Polycythemia vera and some cases of Essential thrombocythemia and Primary Myelofibrosis (PMF). CML is the most common MPN, accounting for 15-20% of all leukemia cases. It can occur at any age, but the incidence increases dramatically among those who are 55 years of age and older. CML can occur in young adults more so than other MPNs. Although rare, CML can also occur in childhood. The natural course of the disease occurs in three phases: chronic, accelerated and blast crisis. Most patients with CML are diagnosed in chronic phase [1]. As in CML, all other MPNs carry significant risk of terminating in acute leukemia. This transition may result from chromosomal instability in the original mutant stem cell or as the result of leukemogenic chemotherapy and radiotherapy for the original myeloproliferative neoplasm. Sometimes, it is very difficult to distinguish the different MPNs especially those in blast crisis and fibrosis. The treatment of CML involves targeted therapy namely, Imatinib mesylate, which is a tyrosine kinase inhibitor. Also, JAK1/2 inhibitors administered in PMF patients show clinical improvement [2]. So, it is Important to distinguish every MPNs even in their blastic phase as they have different treatment modalities in terms of targeted therapy depending on the underlying genetic abnormality.

https://www.peertechzpublications.com/articles/AHCRR-6-129.php

[assignmenttutoronline]

Econometrics

1. In this example, you need to provide an example of a joint probability mass function or joint probability density function that satisfies certain conditions. (a)  Construct an example of a pair of discrete random variables which have Corr(X, Y) = 0.1. It means you should provide a joint probability mass function (PMF) of X and Y. Show that Corr(X, Y) = 0.1 in your example. (b)  Construct an…

[myassignmentonline]

Econometrics

1. In this example, you need to provide an example of a joint probability mass function or joint probability density function that satisfies certain conditions. (a)  Construct an example of a pair of discrete random variables which have Corr(X, Y) = 0.1. It means you should provide a joint probability mass function (PMF) of X and Y. Show that Corr(X, Y) = 0.1 in your example. (b)  Construct an…

[naija-stormy-gists]

PUFF ADDER

I dreamt in the dream, I was in the midst of elderly men in a remote village. We were all sitting in a semi-circle round an idol in a shrine. All the men including myself were putting on red robes. They were chanting incantations. At the time they stopped chanting, they asked me many questions I was unable to give answer to. One question they kept repeating was “why do you buy the calabash”? why do you buy the calabash? I was amaze at the question, which calabash? I asked. I looked at their faces, their faces were shinning like a mirror. I asked them again and again, which calabash? I woke up from the dream.

In 1999, I enlisted into the police force as a recruit constable. I was promoted to the corporal rank after serving ten years. The promotion was after the police strike action against stagnation and poor serving condition. In the police you have to learn fast to fit into the system. There slogans and other in house languages that will seem meaningless to others which the members of the force will comprehend and be alert to any unwholesome situation around them. Sometime you hear words like “uno de no de”, u de he nor stand well well na him sabi “. This mean you have to be smart to know what is happening around or you will be cheated. You will also hear “Na monkey go hang himself”. This is an indirect way to warn you against the problem you are inviting to yourself or you hear idiom like edon tey when yansh dey back”. He is telling you that he too experience to be easily deceived.

I was detained in the cell for three days. What was my offence? As I arrived police college for training, I was allocated a bed infested by bed bugs, the next day after enduring the bugs bite throughout the previous night I went to POWA shop and bought kerosene and pour on the bed to kill the bugs, unfortunately for me the provost marshal of the college was passing by, he immediately ordered for my detention. He charged me for “genocide of commandment pikns” – meaning the bugs in the college are commandant children, that must be treated with dignity. It was then myself and other new recruits learnt it was an offence to kill the bugs in the beds and chairs in the college. Beans prepared and served to recruits are often half cooked and contain stones. One of the first thing you learn in the force is “No complaint sir”. Even when you have serious issues bothering you.

After serving three years in the conventional police, I mobilized to police mobile force, on arrival at the MOPOL camp, the new arrivals were baptized. This ritual according to the Drill instructor is to drain away “A TURA” blood from the new mopol. PMF personnel call conventional police men “ATURA”. In the conventional police you are expected to be secretive, work and do things as individuals who should be ready to give account of his or her actions individually and not collectively, but the contrary is the case in the mobile force, Mopol will say “WE-ONE” meaning we are always there to support one another in all circumstances. Baptism of tear gas is one of the ritual to welcome new arrival to mopol base, new arrivals are gathered in a room and tear gased severally, anyone who attempt to escape are disqualified and sent packing from the camp. After three months training we were deployed to various duty points across the country. Mopol life is a mixture of fun and suffering. You need endurance to survive in the mopol. You will hear “mopol nor bi moi-moi”. Mopol songs are unique and convey words of encouragement to men during operations. Mopol men bear strange names like “mortuary”, dead body, ashewo barber, frustrated”.

When I asked frustrated why he is called frustrated. He said frequent transfers was used to frustrate him while in the conventional police. He said he was transferred to four different states within three years. Ashewo barber, when I inquire about the origin of the nickname I was told that before he join the police he use to move from one brothel to another to shave whores armpit and other part of their body for a fee. I was part of the contingent that restore peace to many warring communities like Offa/Erin ile, Share/Tsaragi, Ibira communal crises.

After five years in the mobile force, I was demobilized back to the conventional police force and I was posted to criminal investigation department as a detective. Working in the CID is another ball game altogether. In this section, I met many people of different character, die-hard armed robbers, hire assassins, con men and other dubious minded people. Criminals and detective play game of wit. Criminals are always prepare to outsmart detective and set bobo traps for them. The diabolical ones charm detectives who investigate their cases.

I investigated a case of stolen edifects and murder against Idiado Nando known by his nickname as “PUFF ADDER”. I regretted ever investigating this case. The puff Adder case is now my source of trauma, sorrow and regret. When Puff Adder was arrested and brought to the station, he was furious and resentful. He threatened every police men around, he said many heads will roll, that a snake can never be kept in captivity. His ranting was thought to be empty boast. Puff Adder is a habitual criminal, a jail-bird, who specializes in snatching expensive cars and stealing edifects from shrines which he sell to tourists at exorbitant prices. In this case I investigated puff Adder and his friend invaded ovator shrine at igiedunana. During the raid, they met the chief priests of the idol inside the shrine, they strangulated and went away with the idol. The people of igiedunana community revel the ovator idol. They believe their forefathers have been serving the idol for more than five hundred years. That the idol protect the community against natural disaster and other calamities. When search warrant was executed in Puff Adder residence, many incriminating items were recovered. It took six months to conclude investigation into the case.

Puff Adder paid two million naira bribe to settle the case. My predicament and misery started immediately I collected the money from Puff Adder uncle, an elderly man of about seventy years old. I felt sensation all over my body as I collected the money. Invisible creature like wall-gecko started crawling from my head to other parts of my body. When it move to my eyes, I will be blind until it craws away, when it move to my ears I will become deaf and when it craw into my brain, I will become insane until it craws away before I regain my sanity. I have suffered this for more than twenty years now.

I lost my service pistol in a mysterious circumstance and was detained for six months after which I was tried in orderly room and dismissed from the police force for negligence and lost of government property. My wife left me, she said a man who cannot perform his conjugal and financial role is not expected to have a wife. Before this time I suffer from erectile dysfunction and I lost my manhood. My ten years old son dies. He was electrocuted in his room, he was making an attempt to plug video game to the socket. My wife felt it will be a waste of her time to remain with me since I am not in the position to father another child. Hence she decided to leave.

With the narrative so far, you will understand the dream I had. That I bought my calabash of calamity and sorry from Puff Adder with the two million naira bribe I collected to set him free from the case of killing ovator idol priest and stealing the idol. I considered two options with the same goal, to end it with sniper or ota-piapia solution.

However, on a second thought I decided to stay alive to be a tragic example to police officers and other law enforcement officers who are involve in dubious ways of performing their duties.

[assignmentfreelancers]

Econometrics

1. In this example, you need to provide an example of a joint probability mass function or joint probability density function that satisfies certain conditions. (a)  Construct an example of a pair of discrete random variables which have Corr(X, Y) = 0.1. It means you should provide a joint probability mass function (PMF) of X and Y. Show that Corr(X, Y) = 0.1 in your example. (b)  Construct an…

[assignmenttutorsforyou]

Econometrics

1. In this example, you need to provide an example of a joint probability mass function or joint probability density function that satisfies certain conditions. (a)  Construct an example of a pair of discrete random variables which have Corr(X, Y) = 0.1. It means you should provide a joint probability mass function (PMF) of X and Y. Show that Corr(X, Y) = 0.1 in your example. (b)  Construct an…

[kylelorber1]

Three Different Types of Product Positioning in a Marketing Strategy

According to Kyle Lorber, inexperienced product developers and rookie entrepreneurs often make product positioning decisions based on their intuition and personal ideas. Fortunately, new measurement and analysis methods make obtaining objective data simpler than ever. PMF surveys may be used to elicit input on your customers, product, and competitive landscape. Additionally, you may conduct Net Promoter Score surveys to ascertain client loyalty and referral potential. The positioning statement is the most crucial component of product positioning.

Consider protein powder, a well-known dietary supplement. If you're attempting to promote it as the best supplement for athletes, you may want to use a product-user technique. Here, you'll link the product with a spokesman who embodies your target buyers' ideas. While not only health-conscious consumers need protein supplements, athletes may use protein powder to improve their performance in the gym. This method of marketing a product on the basis of its features might be effective for a product such as protein powder. However, marketers must continue to discuss the context in which clients use protein powder.

Product positioning is more than just informing buyers of your product's uniqueness; it's also about being the first thing that comes to mind when discussing the category. Coca-Cola is usually the first item that comes to mind when discussing soft drinks. It is a generational brand that has been promoted. Other items, on the other hand, may hold a comparable position. The positioning strategy of a product is a joint effort between the brand and the consumer.

To build a loyal consumer base, product positioning must be effective and memorable. By comprehending the audience's wants and preferences, you can build a compelling offering. The following are the most often used forms of product positioning:

In addition to Kyle Lorber, when writing the product positioning plan, begin with the characteristics and advantages of the product. Consider your customer's life before to and after the purchase of your product, and then illustrate how your solution will make life simpler for him or her. Determine a market segment that is prepared to acquire your goods. Consider the buyer types that comprise your target demographic. If you're targeting a broad market, try developing a niche for a single product. This assists you in determining the genuine worth of your goods.

Utilize the following product positioning technique to establish a distinctive position in the market: A Map of Product Positioning

The positioning approach for a product must be distinctive. It must convince end users, economic purchasers, and prospective consumers that your product is superior to the competition. As with any marketing plan, the positioning strategy must adjust to changing market conditions and be adaptable as required. After establishing the first positioning plan, the organization should endeavor to develop a distinctive brand image. The business may then develop a distinctive product positioning strategy that appeals to those individuals.

Additionally, product positioning may communicate to customers a sense of high quality and elegance. When compared to rival items that compete on price, product positioning is very successful. For instance, M&M's chocolate candies melt in the mouth, which distinguishes them from their competition. Another excellent example of product positioning is the product's "Face." It emphasizes a single feature of the product that clearly benefits the consumer. This is a critical approach for every product.

Effective product positioning starts with the identification of a target demographic. Once you have a firm grasp on these customers, you can start crafting essential messaging that will resonate with them. Your product positioning strategy should begin by determining the most lucrative and appealing sectors of your target market. Once you've determined which audience groups your product can reach, you can successfully communicate your message and improve sales. For instance, if you provide a dietary health supplement that comprises protein powder for athletes, you may target health-conscious clients via that niche.

Product positioning based on reliability emphasizes a product's dependability. By comparing it to other items in the same category, reliability-based positioning fosters confidence. This method may be used by older businesses due to the fact that it reflects a stable consumer base. Consumers place a premium on a product's dependability. Additionally, the dependability of the product improves the possibility that the buyer will trust it. Understanding customer expectations and market conditions is critical for product positioning.

Kyle Lorber pointed out that, to really grasp your clients' requirements and preferences, you must establish the positioning of your product in terms of what they value. It should summarize their characteristics and describe the primary issues they are attempting to resolve. It might be beneficial to construct persona profiles for your target consumers in order to foster an understanding of their requirements and concerns. This study will aid in the development of your product's positioning and marketing language. Additionally, the approach will aid in your branding efforts. Product location has a plethora of advantages.

[jacob-cs]

MIT RES.6-012 Introduction to Probability 6강

L06.2 Variance https://youtu.be/ZWo1XgAQE5k

L06.3 The Variance of the Bernoulli & The Uniform https://youtu.be/7_livg-uaVs

bernoulli 에 대한 정보 

https://www.statlect.com/probability-distributions/Bernoulli-distribution

uniform distribution의 variance 정보

https://www.statlect.com/probability-distributions/uniform-distribution

L06.4 Conditional PMFs & Expectations Given an Event https://youtu.be/2_KBeHiUDiY

L06.5 Total Expectation Theorem https://youtu.be/GnEyIawrWBg

위의 그림은 total expectation theorem을 설명하기 위한 예시이다. 확률분포가 왼쪽과 되있는 경우. total expectation theorem을 사용하기 위해 두 영역으로 구분한다. A1, A2로 구분하고 각각 주어진 A1,A2의 expectation 값과 P(A1) , P(A2)를 구한후  total expectation theorem를 적용시킨다. 

L06.6 Geometric PMF Memorylessness & Expectation https://youtu.be/MuqLI4otMIQ

L06.7 Joint PMFs and the Expected Value Rule https://youtu.be/7nu97OYx4X4

L06.8 Linearity of Expectations & The Mean of the Binomial https://youtu.be/TbRh71BMJvw

아래 그림은 일반적인 expectation 성질에 대한 것이다. (제목에 Binomial이라고 써있어서 Binomial에만 해당한다고 ��각할수 있지만 이 동영상에서 뒷부분은 Binomial에 관한 것이라 제목이 이런것이다. )

위에 그림까지는 일반적인 expectation rule에 관한 내용이다.

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Plant-based Vaccines Market is Develop to Booming at a 49.9% CAGR by 2028, Top Company Profiles – Medicago, IBIO, Icon Genetics GmbH, Lumen Bioscience

Overview:

The global Plant-based Vaccines Market, By Application (Covid-19, Ebola Virus, Influenza, Poultry Disease, Zika Virus, and Others) By Region (North America, Latin America, Africa, Asia Pacific, Middle East, and Europe) By Source (Maize, Potato, Tobacco Plant, and Others), and By Vaccine Type (Bacterial Vaccines, Parasite Vaccines, Viral Vaccines, and Others), and is approximated to have a market valuation of US$ 43.7 million in 2021 and is expected to manifest a CAGR of 49.9% over the forecast period of 2021-2028, as mentioned in a new report published by Coherent Market Insights.

Impact of COVID-19 epidemic:

Coronavirus (COVID-19) outburst was first reported on December 31, 2019, in Wuhan, China. The global casualty rate due to COVID-19 was 3,449,117 were recorded.

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Drivers:

The present and upcoming companies in the plant-based vaccines market are concentrating on comprehensive clinical practice analyses for developing plant-based vaccines for countless medicinal applications.

Market Restraints:

Likewise, the drawbacks and possible threats of contamination and environmental hazards had anticipated delaying the development of the global plant-based biologics market soon. Field crop-based Plant Molecular farming (PMF) outlets such as maize or rice-based outlets contain pollen contamination cases which extend biosafety circumstances as pollen may degrade non-transgenic harvests that are a factor of the standard agricultural exhibition. Nowadays, the U.S. FDA holds a limited policy for utilizing food products for the production of recombinant pharmaceutical combinations.

Regional Analysis:

The North American market is anticipated to maintain the prevalent role in the plant-based vaccines market worldwide for predicated time, because of the evolution in the new by-products. The increased existence of different private and government research institutions concentrated on R&D exercises for the development of plant-based vaccines and the increased majority of influenza conditions in the regional market. Based on the report published in October 2018, by the Centers for Disease Control and Prevention (CDC), between May 2018 and October 2018, 164 samples (63 influenza A(H1N1) pdm09, 44 influenza B, and 57 influenza A(H3N2) viruses) gathered in the U.S. were experimented for vulnerability to the neuraminidase inhibitors such as oseltamivir, peramivir, and zanamivir. All experimented viruses were susceptible to all three guided antiviral prescriptions.

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Key players:

Major companies working in the global plant-based vaccines market include British American Tobacco Plc., Creative Biolabs, Inc., IBIO, Inc., Icon Genetics GmbH, Infectious Disease Research Institute (IDRI), Leaf Expression Systems Ltd., Lumen Bioscience, Inc., Medicago, Inc., PlantForm Corporation, and ZYUS Life Sciences Inc.