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1. The capacity of an elevator will be exceeded if 10 people have mean weights greater...

1. The capacity of an elevator will be exceeded if 10 people have mean weights greater than 167 pounds. Suppose the people have weights that are normally distributed with a mean of 175 pounds with a standard deviation of 25 pounds. (15 points) Please write your answer in a complete sentence and draw a sketch. Use Table A-2.

a. Find the probability that if a person is randomly chosen his weight will be greater than 170 pounds.

b. Find the probability that 10 randomly selected people will have a sample mean weight that is greater than 185 pounds.

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