# Question

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).

(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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