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

201

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

149 lb

and a standard deviation of

26.7 lb.

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

140

lb and

201

lb.

The probability is approximately

0.60630.6063.

(Round to four decimal places as needed.)

b. If

different pilots are randomly selected, find the probability that their mean weight is between

140

lb and

201

lb.

The probability is approximately

0.97980.9798.

(Round to four decimal places as needed.)

c. When redesigning the ejection seat, which probability is more relevant?

Part (b) because the seat performance for a single pilot is more important.

Part (a) because the seat performance for a sample of pilots is more important.

Part (a) because the seat performance for a single pilot is more important.

Part (b) because the seat performance for a sample of pilots is more important.

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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