**Problem Statement: Evaluating Elevator Safety Based on Passenger Weight**An elevator has a placard stating that the maximum capacity is 1650 lb for 10 passengers. Therefore, 10 adult male passengers can have a mean weight of up to 1650/10 = 165 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 165 lb. (Assume that weights of males are normally distributed with a mean of 167 lb and a standard deviation of 28 lb.)Does this elevator appear to be safe?**Calculation:**- The probability the elevator is overloaded is **0.5894**.- (Round to four decimal places as needed.)**Conclusion:**- Does this elevator appear to be safe?---**Detailed Diagram Explanation:**There are no diagrams or graphs provided in the given text. The information is presented in a text format without any visual aids.**Educational Note:**In this example, the weight distribution of adult males is assumed to follow a normal distribution with a given mean and standard deviation. The problem requires calculating the probability that the mean weight of 10 adult passengers exceeds the maximum allowable mean weight. This is a classical application of probability and statistics to ensure safety in engineering designs.

We have to find the probability that the elevator is overloaded.

An elevator has a placard stating that the maximum capacity is 1650 lb-10 passengers. So, 10 adult male passengers can have a mean weight of up to 1650/ 10= 165 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 165 lb. (Assume that weights of males are normally distributed with a mean of 167 lb and a standard deviation of 28 lb.) Does this elevator appear to be safe? The probability the elevator is overloaded is 0.5894. (Round to four decimal places as needed.) Does this elevator appear to be safe?

An elevator has a placard stating that the maximum capacity is 1650 lb-10 passengers. So, 10 adult male passengers can have a mean weight of up to 1650/ 10= 165 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 165 lb. (Assume that weights of males are normally distributed with a mean of 167 lb and a standard deviation of 28 lb.) Does this elevator appear to be safe? The probability the elevator is overloaded is 0.5894. (Round to four decimal places as needed.) Does this elevator appear to be safe?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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