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The capacity of an elevator is 8 people or 1384 pounds. The capacity will be exceeded if 8 people have weights with a mean greater

The capacity of an elevator is 8 people or 1384 pounds. The capacity will be exceeded if 8 people have weights with a mean greater than 1384/8=173 pounds. Suppose the people have weights that are normally distributed with a mean of 180 lb and a standard deviation of 29 lb. Find the probability that if a person is randomly selected, his weight will be greater than 173 pounds.

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