A certain cross between sweet-pea plants will produce progeny that are either purple owered or white owered; the probability of a purple-owered plant is p =9/16. Suppose n progeny are to be examined, and let P^ be the sample proportion of purple-owered plants. It might happen, by chance, P^ that would be closer to 1/2 than to 9/16. Find the probability that this misleading event would occur if:
(a) n = 1
(b) n = 64
(c) n = 320