Answer Happy

The United States Golf Association requires that the weight of agolf ball must not exceed 1.62 oz. The association periodicallychecks golf balls sold in the United States by sampling specificbrands stocked by pro shops. Suppose that a manufacturer claimsthat no more than 5 percent of its brand of golf balls exceed 1.62oz. in weight. Suppose that 24 of this manufacturer's golf ballsare randomly selected, and let x denote the number of the 24randomly selected golf balls that exceed 1.62 oz. Refer to theBinomial table given below. Excel Output of the BinomialDistribution with n = 24, p = .05, and q = .95 Binomialdistribution with n = 24 and p = .05 x P(X = x) 0 0.2920 1 0.3688 20.2232 3 0.0862 4 0.0238 5 0.0050 (a) Find P(x = 0), that is, findthe probability that none of the randomly selected golf ballsexceeds 1.62 oz. in weight. (Use table values rounded to 4 decimalplaces for calculations. Round your answer to 4 decimal places.)(b) Find the probability that at least one of the randomly selectedgolf balls exceeds 1.62 oz. in weight. (Use table values rounded to4 decimal places for calculations. Round your answer to 4 decimalplaces.) (c) Find P(x ≤ 3). (Use table values rounded to 4 decimalplaces for calculations. Round your answer to 4 decimal places.)(d) Find P(x ≥ 2). (Use table values rounded to 4 decimal placesfor calculations. Round your answer to 4 decimal places.) (e)Suppose that 2 of the 24 randomly selected golf balls are found toexceed 1.62 oz. Using your result from part d, do you believe theclaim that no more than 5 percent of this brand of golf ballsexceed 1.62 oz. in weight?