Answered: The United States Golf Association…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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(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) [Input box]

(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) [Input box]

(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) [Input box]

$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 14 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 = .14, $ and $ q = .86 $ #### Binomial distribution with $ n = 24 $ and $ p = .14 $ | $ x $ | $ P(X = x) $ | |---------|---------------| | 0 | 0.0268 | | 1 | 0.1047 | | 2 | 0.1959 | | 3 | 0.2339 | | 4 | 0.1999 | | 5 | 0.1302 | **(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.)* \[ P(x = 0) \] [Input Box]$

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 14 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 = .14, $ and $ q = .86 $ #### Binomial distribution with $ n = 24 $ and $ p = .14 $ | $ x $ | $ P(X = x) $ | |---------|---------------| | 0 | 0.0268 | | 1 | 0.1047 | | 2 | 0.1959 | | 3 | 0.2339 | | 4 | 0.1999 | | 5 | 0.1302 | **(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.)* \[ P(x = 0) \] [Input Box]

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