Mohamed Salah is currently the new "blue-eyed boy" of world football. Originally from Egypt but currently playing for Liverpool, his on-field skills have put him in the same league as Lionel Messi and Christiano Ronaldo. Salah has scored 44 goals for the club season so far and many believe that this is just the beginning of a long and illustrious career ahead. Suppose, for a particular match, the probabilities that Salah scores 0, 1, 2 and 3 goals are respectively 0.1, 0.5, 0.3 and 0.1 respectively. On the other hand, his earnings (per match) are tied with the number of goals he scores such that he gets USD 2 million if he does not score any goal while he earns USD 4, 7 and 10 million for scoring 1, 2 and 3 goals respectively. Based on this information, answer the following questions: Find the distribution of Salah's earnings per match along with the mean and standard deviation of the same. i) a. Distribution b. Mean C. Standard deviation ii) Find the probability that Salah earns at least USD 4 million in a particular match.

Q: Dystopia county has three bridges. In the next year, the Elder bridge has a 19% chance of collapse,…

A: It is given that,P(Elder bridge collapse)=0.19,P(Younger bridge collapse)=0.07,P(Ancient bridge…

Q: Carl’s basketball shooting records indicate that for any frame, the probability that he will score…

A: Given that the probability that he will score in a two-point shoot is 30%, a three-point shoot is…

Q: Mr.X started his new business.The chance of Rs.40000 profit per month is 20% and the chance of…

A: given: Probability of Rs.40000 profit per month is 20%            Probability of RS.50000 profit per…

Q: Player V and Player M have competed against each other many times. Historical data show that each…

A: The objective of the question is to find the probability that a match between Player V and Player M…

Q: Suppose an oil company is thinking of buying some land for $11,000,000. There is a 60% chance of…

A: Given: Value of land = $11,000,000 P (economic growth) = 0.60 P (recession) = 0.40 P (discovering…

Q: If the probability of Ali and Hamad winning in a competition is 0.37 and the probability of losing…

A: It is given that the   probability of Ali and Hamad winning in a competition is 0.37 i.e. P(Ali and…

Q: Mohamed Salah is currently the new "blue-eyed boy" of world football. Originally from Egypt but…

A: Total goals scored by salah=44 Probabilities of salah score: 0,1,2 and 3 goals are 0.1, 0.5, 0.3,…

Q: Some of the managers at a company have an MBA degree. Of managers at the level of director or​…

A: Given Information:  Of managers at the level of director or​ higher, 56​% have an MBA. Among other…

Q: A certain disease can be detected by a blood test in 95% of those who have it.Unfortunately, the…

A: This problem requires the application of Bayes' theorem to find the probability that the person…

Q: A BSCE student is taking Calculus 2 and Engineering Data Analysis courses. The probability that he…

A: The probability that he will pass Calculus 2 is 23. That is, PPass calculus 2=23, the probability…

Q: A student is taking two courses, history and math. The probability the student will pass the history…

A: Let ,   H = A student will pass the history course  M = A student  will pass the math course   Given…

Q: Ian rolls the two dice and will win the game if the sum of the numbers of the two dice is 8. What is…

A: Two dice are rolled, outcome of this event is: Ω= {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),…

Q: Suppose an oil company is thinking of buying some land for $11,000,000. There is a 60% chance of…

A: Solution We can solve by the tree

Q: Some of the managers at a company have an MBA degree. Of managers at the level of director or​…

A: Let A denote the persons having MBA and B denote the managers having a position at the level of…

Q: Jane has stored three albums on her iPod. The first album consists of 11 songs by Frank Sinatra, the…

A: According to the given question, Jane has stored three albums on her iPod.The first album consists…

Q: If the probability of a student taking a math class is 0.40, the probability of taking a physics…

A:

Q: Suppose an oil company is thinking of buying some land for $950,000. There is a 60% chance of…

A: If economy grows, then (0.6) The expected value of investment if oil is found will be…

Q: Pedro has just entered university and has been informed that there is a 30% chance of receiving a…

A: Given that Pedro has just entered university and has been informed that there is a 30% chance of…

Q: The final match of world championship soccer is to be played between England and the Netherlands.…

A:

Q: If the probability of a student taking a calculus class is 0.10, the probability of taking a…

A: According to the provided information, the probability of a student taking a calculus class is 0.10.…

Q: Jack wants to take Deep Learning or Spanish, or both this semester. He is applying for enrolment.…

A: Given,P(getting into a Deep Learning course)=0.50P(getting into a Spanish course)=0.40and P(Getting…

Q: The probability that a student passes mathematics is 2/3 and the probability that he passes biology…

A:

Q: Two students X and Y are very weak students of mathematics and their chances of solving a problem…

A:

Q: A museum wonders whether it should enter an insurance contract to prevent loss from thief. Of…

A: Given that the total worth of the museum pieces is estimated to be around $20000 and 3% chance that…

Q: Suppose an oil company is thinking of buying some land for $950,000. There is a 60% chance of…

A: Answer : The expected value of the investment = $619,210

Q: Suppose an oil company is thinking of buying some land for $10,000,000. There is a 60%60% chance of…

A: Given information is as follows; Land purchase Amount  = $10,000,000.  P( Economic growth ) = 0.60.…

Q: In a three subject class setting, there is a 60% chance that the students will pass only two…

A:

Q: The professor has taught basic statistics for several years. He knows that 80% of the students will…

A: The question is about Bayes' rule.Given :Proportion of students who finished the assigned tasks =…

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.