A candy maker produces mints that have a label weight of 20.4 grams. Assume that the dis...

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 <20.857).

(b) During a particular shift, 100 mints are selected at random and weighed. Let Y equal the number of these mints that weigh less than 20.857 grams. ApproximateP(Y ≤ 5).

(c) Let equal the sample mean of the 100 mints selected and weighed on a particular shift. Find P(21.31 ≤ ≤21.39).