Let x1, x2, . . . , x100 denote the actual net weights (in pounds) of 100 randomly selected bags of fertilizer. Suppose that the weight of a randomly selected bag has a distribution with mean 60 lb and variance 1 lb2. Let x be the sample mean weight (n = 100). Required:
a. What is the probability that the sample mean is between 59.75 lb and 60.25 lb? (Round your answer to four decimal places.) P(59.75 ≤ x ≤ 60.25) =
b. What is the probability that the sample mean is greater than 60 lb?