In a population of flatworms (Planaria) living in a certain pond, one in five individuals is adult and four are juvenile.37 An ecologist plans to count the adults in a random sample of 16 flatworms from the pond; she will then use P, the Wilson-adjusted sample proportion of adults in the sample, as her estimate of p, the proportion of adults in the pond population. Find
(a) Pr{= p)
(b) Pr{p - 0.05 ≤ ≤ p + 0.05}