An elevator has a placard stating that the maximum capacity is 1368 Ib-B passengers. So, 8 adult male passengers can have a mean weight of up to 1368 /8 =171 pounds. If the elevator is loaded with 8 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 171 lb. (Assume that weights of males are normally distributed with a mean of 176 lb and a standard deviation of 27 lb.) Does this elevator appear to be safe? The probability the elevator is overloaded is (Round to four decimal places as nooded.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
Question
An elevator has a placard stating that the maximum capacity is 1368 Ib-B passengers. So, 8 adult male passengers can have a mean weight of up to
1368 /8 =171 pounds. If the elevator is loaded with 8 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than
171 lb. (Assume that weights of males are normally distributed with a mean of 176 lb and a standard deviation of 27 lb.) Does this elevator appear to be safe?
The probability the elevator is overloaded is
(Round to four decimal places as nooded.)
Transcribed Image Text:An elevator has a placard stating that the maximum capacity is 1368 Ib-B passengers. So, 8 adult male passengers can have a mean weight of up to 1368 /8 =171 pounds. If the elevator is loaded with 8 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 171 lb. (Assume that weights of males are normally distributed with a mean of 176 lb and a standard deviation of 27 lb.) Does this elevator appear to be safe? The probability the elevator is overloaded is (Round to four decimal places as nooded.)
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