Answered: For a particular elevator, the average…

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

For a particular elevator, the average weight of a person who enters the elevator is 165.347 pounds
(lbs), with a standard deviation of 22.046 lbs.

(a) Find the probability that the average weight of 36 people entering the elevator is above 170 lbs.

(b) Assume the population is normally distributed. What is the probability that the total weight of
16 people is over 2500 lbs?

(c) Assume the population is normally distributed. What is the probability that the total weight of
16 people is over 3500 lbs?

(d) If the sign on the elevator says ”Maximum capacity X lbs or 16 people”, and you had to decide
which weight X (2500 or 3500 lbs) to list, which would you choose based on (b) and (c) to ensure
the elevator would rarely fail? Explain your answer.

****Note: Please do not copy answer from Chegg!

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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