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44. Quality Control A machine that fills quart orange juice cartons is set to fill them with 32.1 oz. If the actual contents of the

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44. Quality Control A machine that fills quart orange juice cartons is set to fill them with 32.1 oz. If the actual contents of the cartons vary normally, with a standard deviation of 0.1 oz, what percent- age of the cartons contain less than a quart (32 oz)? 45. Quality Control About 4% of the frankfurters produced by a certain machine are overstuffed and thus defective. For a sam- ple of 500 frankfurters, find the following probabilities-first by using the binomial probability formula, and then by using the normal approximation. (a) Twenty-five or fewer are overstuffed. (b) Exactly 25 are overstuffed. (c) At least 30 are overstuffed. 46. Bankruptcy The probability that a small business will go bank- rupt in its first year is 0.21. For 50 such small businesses, find the following probabilities-first by using the binomial prob- ability formula, and then by using the normal approximation. (a) Exactly & go bankrupt. (b) No more than 2 go bankrupt

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