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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An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilot swing between 120 lb and 161 lb.The new population of pilots has normally distributed weights with a mean of 127lb and a standard deviation of 30.7lb. A. If a pilot is randomly selected find the probability that his weight is between 120lb and 161lb. (round to four decimal places as needed)

Expert Solution

Step 1 - Writing given data

Given that

The seat was designed for pilot swing between 120 lb and 161 lb

The population has normally distributed with weights with

Mean ( $μ$ ) = 127 lb

Standard deviation ( $σ$ ) = 30.7 lb

We know that

$Z = \frac{(\bar{x} - μ)}{σ}$

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