Answered: An engineer is going to redesign an…

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 engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between

140

lb and

191

lb. The new population of pilots has normally distributed weights with a mean of

145 lb

and a standard deviation of

27.7 lb

a. If a pilot is randomly selected, find the probability that his weight is between

140

lb and

191

lb.

The probability is approximately__________

(Round to four decimal places as needed.)

b. The probability is__________

(Round to four decimal places as needed.)

c. Choose the correct answer below.

The normal distribution can be used because the finite population correction factor is small.

The normal distribution can be used because the mean is large.

The normal distribution can be used because the probability is less than 0.5

The normal distribution can be used because the original population has a normal distribution.

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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