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).