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 given below. Excel Output of the Binomial Distribution with n= 24, p= .01, and q= .99 Binomial distribution with n=24 and p = .01 0 1 2 3 4 5 P(X= x) 0.7857 0.1905 0.0221 0.0016 0.0001 0.0000 (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)
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 given below. Excel Output of the Binomial Distribution with n= 24, p= .01, and q= .99 Binomial distribution with n=24 and p = .01 0 1 2 3 4 5 P(X= x) 0.7857 0.1905 0.0221 0.0016 0.0001 0.0000 (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)
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Transcribed Image Text: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 given
below.
Excel Output of the Binomial Distribution with n=24, p= .01, and q = .99
Binomial distribution with n= 24 and p= .01
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0
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P(x = 0)
(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= x)
0.7857
0.1905
0.0221
0.0016
0.0001
0.0000
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Transcribed Image Text:(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 2 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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