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A basketball player shoots 18 free throws. Assume that p, the probability that they will make the free throw, is uniformly distributed. (a) Help me

A basketball player shoots 18 free throws. Assume that p, the probability that they will make the free throw, is uniformly distributed.

(a) Help me write an expression calculating the probability of the basketball player making of the 18 free throws given p, their probability of making a single free throw.

(b) Help me derive the posterior distribution for .

c. Help me derive an estimator for p.

(d) The basketball player makes 15 free throws. How can I find the maximum likelihood estimate of in this scenario?

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