The weight (in pounds) of medium-size watermelons is normally distributed with mean 15

Chapter 6, Problem 6.44

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The weight (in pounds) of medium-size watermelons is normally distributed with mean 15 and variance 4. A packing container for several melons has a nominal capacity of 140 pounds. What is the maximum number of melons that should be placed in a single packing container if the nominal weight limit is to be exceeded only 5% of the time? Give reasons for your answer

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