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

orchestra answered 1 year ago

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