The weight (in pounds) of “medium-size” watermelons is

Chapter 6, Problem 44E

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QUESTION:

Problem 44E

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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QUESTION:

Problem 44E

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.

ANSWER:

Solution:

Step 1 of 2:

The weight of the watermelon is Normally distributed with mean 15 and variance 4.

A packing container for several melons has a nominal capacity of 140 pounds.

The claim is to find the maximum number of melons that limit is to exceeded only 5% of the time.


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