The United States Golf Association requires that the weight of a golf ball must not exceed 1.62

Question:

The United States Golf Association requires that the weight of a golf ball must not exceed 1.62 oz. The association periodically checks golf balls sold in the United States by sampling specific brands stocked by pro shops. Suppose that a manufacturer claims that no more than 1 percent of its brand of golf balls exceed 1.62 oz. in weight. Suppose that 24 of this manufacturer’s golf balls are randomly selected, and let x denote the number of the 24 randomly selected golf balls that exceed 1.62 oz. Figure 5.7 gives part of an Excel output of the binomial distribution with n=24, p =01 and q =99

Use this output to:

a. Find p(x = 0), that is, find the probability that none of the randomly selected golf balls exceeds 1.62 oz. in weight.

b. Find the probability that at least one of the randomly selected golf balls exceeds 1.62 oz. in weight.

c. Find p(x ≤).

d. Find p(x ≥).

e. Suppose that 2 of the 24 randomly selected golf balls are found to exceed 1.62 oz. Using your result from part d, do you believe the claim that no more than 1 percent of this brand of golf balls exceed 1.62 oz. in weight?

Distribution
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