A certain type of mint has a label weight of 20.4 grams. Suppose that the probability is

Chapter 2, Problem 2.4-10

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A certain type of mint has a label weight of 20.4 grams. Suppose that the probability is 0.90 that a mint weighs more than 20.7 grams. Let X equal the number of mints that weigh more than 20.7 grams in a sample of eight mints selected at random. (a) How is X distributed if we assume independence? (b) Find (i) P(X = 8), (ii) P(X 6), and (iii) P(X 6).

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