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Probability Distributions

3.6-14. A candy maker produces mints that have a label weight of 20.4 grams. Assume that the distribution of the weights of these mints is N(21.37, 0.16).
a) Let X denote the weight of a single mint selected at random from the production line. Find P(X > 22.07).
b) Suppose that 15 mints are selected independently and weighed. Let Y equal the number of these mints that weigh less than 20.857 grams. Find P(Y <= 2).

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The reason why you have a binomial distribution coming out of each of these questions is that the binomial distribution models ...