The shell of the land snail Limocolaria marfensiana has two possible color forms: streaked and pallid. In a certain population of these snails. 60% of the individuals have streaked shells (as in Exercise 3.6.4). Suppose a random sample of six snails is to be chosen from the population; let p be the Wilson-adjusted sample proportion of streaked snails. Find
(a) Pr{ = 0.5}
(b) Pr{ = 0.6}
(c) Pr{ = 0.7}
(d) Pr{0.5 ≤  ≤ 0.7}
(e) The percentage of samples for which Pis within ±0.10 of p.