Answered: An elevator has a placard stating that…

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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Question

An elevator has a placard stating that the maximum capacity is 2490 lb—15 passengers. So, 15 adult male passengers can have a mean weight of up to 2490/15=166 pounds. If the elevator is loaded with 15 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 166 lb. (Assume that weights of males are normally distributed with a mean of 172 lb and a standard deviation of 26 lb.) Does this elevator appear to be safe?

2 Part Question

Part 1

The probability the elevator is overloaded is (Blank).

(Round to four decimal places as needed.)

Part 2

Does this elevator appear to be safe?

A. Yes, 15 randomly selected adult male passengers will always be under the weight limit.

B. No, there is a good chance that 15 randomly selected adult male passengers will exceed the elevator capacity.

C. No, 15 randomly selected people will never be under the weight limit.

D. Yes, there is a good chance that 15 randomly selected people will not exceed the elevator capacity.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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