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(Solved by Expert Tutors)The United States Golf Association requires that the weight of a golf bal

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 6 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.

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Excel Output of the Binomial Distribution with n = 24, p = 0.06, and q = 0.94

Binomial distribution with n = 24 and p = 0.06??

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x | P(X=x) |

0 | 0.2265 |

1 | 0.3470 |

2 | 0.2547 |

3 | 0.1192 |

4 | 0.0400 |

5 | 0.0102 |

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(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.)**???

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P(x = 0) ??????????? ?

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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.)**

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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.)**

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P(x ? 3) ???????????

(d)?Find P(x ? 2).

P(x ? 2) ???????????

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(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 6 percent of this brand of golf balls exceed 1.62 oz. in weight?

YES or NO , the probability of this result is LARGE or SMALL? if the claim is true.

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