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. Refer to the Binomial table. (a) Find P(x = 0), that is, find the probability that none of the randomly selected golf balls exceeds 1.62 oz. in weight. (Use table values rounded to 4 decimal places for calculations. Round your answer to 4 decimal places.) P(x = 0) (b) Find the probability that at least one of the randomly selected golf balls exceeds 1.62 oz. in weight. (Use table values rounded to 4 decimal places for calculations. Round your answer to 4 decimal places.) P(x ≥ 1) (c) Find P(x ≤ 3). (Use table values rounded to 4 decimal places for calculations. Round your answer to 4 decimal places.) P(x ≤ 3)
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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. Refer to the Binomial table. |
| (a) |
Find P(x = 0), that is, find the probability that none of the randomly selected golf balls exceeds 1.62 oz. in weight. (Use table values rounded to 4 decimal places for calculations. Round your answer to 4 decimal places.) |
| P(x = 0) |
| (b) |
Find the probability that at least one of the randomly selected golf balls exceeds 1.62 oz. in weight. (Use table values rounded to 4 decimal places for calculations. Round your answer to 4 decimal places.) |
| P(x ≥ 1) |
| (c) |
Find P(x ≤ 3). (Use table values rounded to 4 decimal places for calculations. Round your answer to 4 decimal places.) |
| P(x ≤ 3) |
| (d) |
Find P(x ≥ 2). (Use table values rounded to 4 decimal places for calculations. Round your answer to 4 decimal places.) |
| P(x ≥ 2) |
| (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? |
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, the probability of this result is if the claim is true. |
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