(Solution) - A certain cross between sweet pea plants will produce progeny that -(2025 Original AI-Free Solution)

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A certain cross between sweet-pea plants will produce progeny that are either purple flowered or white flowered;11 the probability of a purple-flowered plant is p = Suppose n progeny are to be examined, and let P be the sample proportion of purple-flowered plants. It might happen, by chance, that P would be closer to than to jg. Find the probability that this misleading event would occur if
(a) n = 1.
(b) n = 64.
(c) n = 320.
(Use the normal approximation without the continuity correction.)