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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

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