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An elevator has a placard stating that the maximum capacity is 1932 lb-12 passengers. So, 12 adult male passengers can have a mean weight of up to 1932/12 161 pounds. If the elevator is loaded with 12 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 161 lb. (Assume that weights of males are normally distributed with a mean of 166 lb and a standard deviation of 31 lb.) Does this elevator appear to be safe? The probability the elevator is overloaded is (Round to four decimal places as needed.)

An elevator has a placard stating that the maximum capacity is 1932 lb-12 passengers. So, 12 adult male passengers can have a mean weight of up to 1932/12 161 pounds. If the elevator is loaded with 12 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 161 lb. (Assume that weights of males are normally distributed with a mean of 166 lb and a standard deviation of 31 lb.) Does this elevator appear to be safe? The probability the elevator is overloaded is (Round to four decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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An elevator has a placard stating that the maximum capacity is 1932 lb-12 passengers. So, 12 adult male passengers can have a mean weight of up to 1932/12 = 161 pounds. If the elevator probability that it is overloaded because they have a mean weight greater than 161 lb. (Assume that weights of males are normally distributed with a mean of 166 lb and a standard deviation of 31 lb.) Does this elevator appear to be safe? loaded with 12 adult male passengers, find the The probability the elevator is overloaded is (Round to four decimal places as needed.)
Transcribed Image Text:An elevator has a placard stating that the maximum capacity is 1932 lb-12 passengers. So, 12 adult male passengers can have a mean weight of up to 1932/12 = 161 pounds. If the elevator probability that it is overloaded because they have a mean weight greater than 161 lb. (Assume that weights of males are normally distributed with a mean of 166 lb and a standard deviation of 31 lb.) Does this elevator appear to be safe? loaded with 12 adult male passengers, find the The probability the elevator is overloaded is (Round to four decimal places as needed.)
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