For problem 15-5, suppose the biologists believed the proportion of infected crabs in the population was equally likely to be anywhere from 10% to 90%. Using the discrete points 0.1, 0.2, etc., construct a uniform prior distribution for the proportion of infected crabs, and compute the posterior distribution after the results of the sampling in problem 15-5.

R P ......(R)

0.25........... 0.1

0.30........... 0.2

0.35........... 0.2

0.40........... 0.3

0.45........... 0.1

0.50........... 0.1