Question: Help please on practice Q with no solution: The Department of Agriculture and Rural Development (DARP) is currently seeking foxes in order to test them

Help please on practice Q with no solution:

The Department of Agriculture and Rural Development (DARP) is currently seeking foxes in order to test them for Trichinella, a disease found in pigs. Suppose that out of 24 foxes, 3 of them are found to have Trichinella.

Let be the probability that a fox has Trichinella. Our prior distribution of is

Beta(1.5, 1.5).

(a) What is the posterior distribution of ?

(b) Find the Bayesian estimate of under all-or-nothing loss.

Thank you!

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