# Question: A candy maker produces mints that have a label weight

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 denote the weight of a single mint selected at random from the production line. Find P( < 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. Approximate P(Y ≤ 5).

(c) Let Xequalthesamplemeanofthe100mintsselected and weighed on a particular shift. Find P(21.31 ≤ X ≤ 21.39).

(a) Let denote the weight of a single mint selected at random from the production line. Find P( < 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. Approximate P(Y ≤ 5).

(c) Let Xequalthesamplemeanofthe100mintsselected and weighed on a particular shift. Find P(21.31 ≤ X ≤ 21.39).

**View Solution:**## Answer to relevant Questions

If E(X) = 17 and E(X2) = 298, use Chebyshev’s inequality to determine (a) A lower bound for P(10 < X < 24). (b) An upper bound for P(|X − 17| ≥ 16). In 1985, Kent Hrbek of the Minnesota Twins and Dion James of the Milwaukee Brewers had the following numbers of hits (H) and official at bats (AB) on grass and artificial turf: (a) Find the batting average BA (namely, H/AB) ...In the casino game roulette, if a player bets $1 on red (or on black or on odd or on even), the probability of winning $1 is 18/38 and the probability of losing $1 is 20/38. Suppose that a player begins with $5 and makes ...Let X1, X2, . . . , Xn be a random sample of size n from a geometric distribution for which p is the probability of success. (a) Use the method of moments to find a point estimate for p. (b) Explain intuitively why your ...In some situations where the regression model is useful, it is known that the mean of Y when X = 0 is equal to 0, i.e., Yi = βxi + εi where εi for i = 1, 2, . . . , n are independent and N(0, σ2).Post your question