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 specic brands stocked by pro shops. Suppose that a manufacturer claims that no more than 20 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 xdenote the number of the 24 randomly selected golf balls that exceed 1.62 oz. Refer to the Binomial table given below. Excel Output ofthe Binomial Distribution with n = 24, p = .20. and q: .80 Binomial distribution with n = 24 and p = .20 PIX = x] 0.9047 .0233 .9315 .1493 .1960 .1960 r______________________ LthuNbIk cocoa In} Find FIX: 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.) {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.) (c) Find P(x 5 3). {Use table values rounded to 4 decimal places for calculations. Round your answer to 4 decimal places} [d] Find Fix 2 2]. {Use table values rounded to 4 decimal places for calculation s. Round your answer to 4 decimal places.} (e) Suppose that 2 ofthe 24 randomly selected golf balls are found to exceed 1.62 oz. Using your result from part of. do you believe the claim that no more than 20 percent ofthis brand of golf balls exceed 1.62 oz. in weight? .mepmmnwmmus