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

3900

lb—26

passengers. So,

adult male passengers can have a mean weight of up to

3900/26=150 pounds.

Assume that weights of males are normally distributed with a mean of

183 lb

and a standard deviation of

38 lb.

a. Find the probability that 1 randomly selected adult male has a weight greater than

150

lb.

b. Find the probability that a sample of

randomly selected adult males has a mean weight greater than

150

lb.

c. What do you conclude about the safety of this elevator?

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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