It uses a normal distribution table. Screenshot with question is attached **Redesigning an Ejection Seat for Pilots Based on Weight Distribution**An engineer is tasked with redesigning an ejection seat for an airplane. The seat was originally intended for pilots weighing between 130 lbs and 171 lbs. The current population of pilots has weights that are normally distributed, with a mean of 139 lbs and a standard deviation of 26.9 lbs.**Resources:**- [Page 1 of the Standard Normal Distribution](#)- [Page 2 of the Standard Normal Distribution](#)---**Problem:**a. Determine the probability that a randomly selected pilot's weight falls between 130 lbs and 171 lbs.*Calculate the probability and round your answer to four decimal places.***Solution:**The probability is approximately \(\_\_\_\_\).

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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It uses a normal distribution table. Screenshot with question is attached

**Redesigning an Ejection Seat for Pilots Based on Weight Distribution**

An engineer is tasked with redesigning an ejection seat for an airplane. The seat was originally intended for pilots weighing between 130 lbs and 171 lbs. The current population of pilots has weights that are normally distributed, with a mean of 139 lbs and a standard deviation of 26.9 lbs.

**Resources:**
- [Page 1 of the Standard Normal Distribution](#)
- [Page 2 of the Standard Normal Distribution](#)

---

**Problem:**

a. Determine the probability that a randomly selected pilot's weight falls between 130 lbs and 171 lbs.

*Calculate the probability and round your answer to four decimal places.*

**Solution:**
The probability is approximately \(\_\_\_\_\).

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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