Question

In: Statistics and Probability

3. Suppose each time Illini freshman sensation Ko Cockburn shoots a free throw he has a...

3. Suppose each time Illini freshman sensation Ko Cockburn shoots a free throw he has

a chance of making it.

a. Construct a prior distribution for theta to be Beta(a,b). What values should a and b

take so that the prior mean is 0.5 and the prior standard deviation is 0.2?

b. In his first game against Nicholls State Ko made 2 foul shots out of 6 attempts.

What was the posterior distribution for theta after this game?

c. What was the mean of the posterior distribition?

d. What was the standard deviation of the posterior distribution?

Solutions

Expert Solution


Related Solutions

A basketball player shoots 3 free throws. On each throw, she has a 70% chance of...
A basketball player shoots 3 free throws. On each throw, she has a 70% chance of making the shot. Assume the outcomes of the throws are independent. What is the probability that she makes the first two free throws and then misses the last one?
To test his free throw skills, a basketball player shoots 200free throw shots in a...
To test his free throw skills, a basketball player shoots 200 free throw shots in a row. He makes 171 of them. Based on this, what is the probability he will make his first free throw in his next game? What method of calculating probability did you use to calculate this?
1. A pro basketball player is a poor​ free-throw shooter. Consider situations in which he shoots...
1. A pro basketball player is a poor​ free-throw shooter. Consider situations in which he shoots a pair of free throws. The probability that he makes the first free throw is 0.51. Given that he makes the​ first, suppose the probability that he makes the second is 0.64. Given that he misses the​ first, suppose the probability that he makes the second one is 0.36. What is the Probability he makes both free throws? 2. The most likely scenario for...
For an NBA player who makes 60% of all free throws, suppose that he shoots free...
For an NBA player who makes 60% of all free throws, suppose that he shoots free throws independently. 1. Suppose that he shoots 6 free throws in a game. What is the probability that he scores more than 4 points? 2. If the player keeps shooting until he misses, what is the probability that he stops at the fourth trial? 3.If the player keeps shooting until he misses and let X denote the number of trials he shoots, what is...
Kay has an 80% probability of making a free-throw in basketball,and each free-throw is independent....
Kay has an 80% probability of making a free-throw in basketball, and each free-throw is independent. Kay gets to take 2 free-throws, and must make both to win the game. What is the probability that Kay's team will win the game?1. 64%2. 80%3. 88%4. 160% (so 100%)
A basketball player makes 64% of her free throw attempts. Suppose she is awarded 3 free...
A basketball player makes 64% of her free throw attempts. Suppose she is awarded 3 free throws during a play, and let X be the number of free throws she makes during this trial. Complete the following probability distribution table. Round the probabilities to 3 decimals.
A basketball player has a 50 % chance of making each free throw. What is the...
A basketball player has a 50 % chance of making each free throw. What is the probability that the player makes at most eight out of ten free throws?
Bob is a high school basketball player. He is a 60% free throw shooter. That means his probability of making a free throw is 0.60.
Please show answer using R commands. Exercise 3: Bob is a high school basketball player. He is a 60% free throw shooter. That means his probability of making a free throw is 0.60. Use R commands to answer the following questions. ( (a) During the season, what is the probability that Bob makes his third free throw on his sixth shot?  (b) What is the probability that Bob makes his first free throw on his sixth shot?
A basketball player makes 60% of his shots from the free throw line. Suppose that each...
A basketball player makes 60% of his shots from the free throw line. Suppose that each of his shots can be considered independent and that he throws 4 shots. Let X = the number of shots that he makes. What is the probability that he makes 1 shot?
A basketball player makes 39% of her shots from the free throw line. Suppose that each...
A basketball player makes 39% of her shots from the free throw line. Suppose that each of her shots can be considered independent and that she throws 3 shots. Let X = the number of shots that he makes. What is the probability that she makes 2 shots?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT