Engineers are designing a large elevator that will accommodate 40 people. The maximum weight the elevator can hold safely is 8120 pounds. According to the National Health Statistics Reports, the weights of adult U.S. men have mean 193 pounds and standard deviation 68 pounds, and the weights of adult U.S. women have mean 164 pounds and standard deviation 87 pounds. If a random sample of 40 adult women ride the elevator, what is the probability that the maximum safe weight will be exceeded? O 44.15% O 17.62% O 0.23% O 32.70%

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Engineers are designing a large elevator that will accommodate 40 people. The maximum weight the elevator can hold safely is 8120 pounds. According to the National Health
Statistics Reports, the weights of adult U.S. men have mean 193 pounds and standard deviation 68 pounds, and the weights of adult U.S. women have mean 164 pounds and standard
deviation 87 pounds.
If a random sample of 40 adult women ride the elevator, what is the probability that the maximum safe weight will be exceeded?
O 44.15%
O 17.62%
O 0.23%
O 32.70%
Transcribed Image Text:Engineers are designing a large elevator that will accommodate 40 people. The maximum weight the elevator can hold safely is 8120 pounds. According to the National Health Statistics Reports, the weights of adult U.S. men have mean 193 pounds and standard deviation 68 pounds, and the weights of adult U.S. women have mean 164 pounds and standard deviation 87 pounds. If a random sample of 40 adult women ride the elevator, what is the probability that the maximum safe weight will be exceeded? O 44.15% O 17.62% O 0.23% O 32.70%
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