An elevator has a placard stating that the maximum capacity is 1580 lb-10 passengers. So, 10 adult male passengers can have a mean weight of up to 1580 /10 = 158 pounds. If the elevator is loaded with 10 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 156 lb. (Assume that weights of males are normally distributed with a mean of 185 lb and a standard deviation of 30 lb.) Does this elevator appear to be safe? The probability the elevator is overioaded is O (Round to four decimal places as needed.)
An elevator has a placard stating that the maximum capacity is 1580 lb-10 passengers. So, 10 adult male passengers can have a mean weight of up to 1580 /10 = 158 pounds. If the elevator is loaded with 10 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 156 lb. (Assume that weights of males are normally distributed with a mean of 185 lb and a standard deviation of 30 lb.) Does this elevator appear to be safe? The probability the elevator is overioaded is O (Round to four decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:**Elevator Safety and Probability Analysis**
An elevator displays a placard indicating that its maximum capacity is 1580 pounds for 10 passengers. Consequently, each of the 10 adult male passengers can have a mean weight of up to \( \frac{1580}{10} = 158 \) pounds. If the elevator is occupied by 10 adult male passengers, determine the probability that it is overloaded due to the passengers having an average weight exceeding 158 pounds. It is assumed that the weights of males are normally distributed with a mean of 165 pounds and a standard deviation of 30 pounds. Is the elevator deemed safe under these conditions?
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**The probability that the elevator is overloaded is: __________**
*(Round to four decimal places as needed.)*
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