When women were finally allowed to become pilots of fighter jets, engineers needed to redesign the ejection seats because they had been originally designed for men only. The ejection seats were designed for men weighing between 130 lb and 201 lb. Weights of women are now normally distributed with a mean of 162 lb and a standard deviation of 42 lb . Complete parts (a) through (c) below. a. If 1 woman is randomly selected, find the probability that her weight is between 130 lb and 201lb. The probability is ? (Round to four decimal places as needed.) b. If 26 different women are randomly selected, find the probability that their mean weight is between 130 Ib and 201 Ib. The probability is ________ (Round to four decimal places as needed.) c. When redesigning the ejection seat, whic probability is more relevant?

When women were finally allowed to become pilots of fighter jets, engineers needed to redesign the ejection seats because they had been originally designed for men only. The ejection seats were designed for men weighing between 130 lb and 201 lb. Weights of women are now normally distributed with a mean of 162 lb and a standard deviation of 42 lb . Complete parts (a) through (c) below. a. If 1 woman is randomly selected, find the probability that her weight is between 130 lb and 201lb. The probability is ? (Round to four decimal places as needed.) b. If 26 different women are randomly selected, find the probability that their mean weight is between 130 Ib and 201 Ib. The probability is ________ (Round to four decimal places as needed.) c. When redesigning the ejection seat, whic probability is more relevant?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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An engineer is going to redesign an ejection seat for the airplane. The seat was designed for pilots weighing between 150 and 191 pounds. The new population of pilots has normally distributed weights with a mean of 158 pounds and a standard deviation or 31.1 pounds. a. If a pilot is randomly selected, find the probability that his weight is between 150 lb and 191 lb. b. If 38 pilots are randomly selected, find the probability that their mean weight is between 150 lb and 191 lb. what is the approximate probability? 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 b 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 a because the seat performance for a sample of pilots is more important. please show solving steps and if possible tell me how to also get these answers through excel…
When women were finally allowed to become pilots of fighter jets, engineers needed to redesign the ejection seats because they had been originally designed for men only. The ejection seats were designed for men weighing between 150 lb and 201 lb. Weights of women are now normally distributed with a mean of 163 lb and a standard deviation of 44 lb. Complete parts (a) through (c) below. a. If 1 woman is randomly selected, find the probability that her weight is between 150 lb and 201 lb. The probability is approximately. (Round to four decimal places as needed.) (…)
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When women were finally allowed to become pilots of fighter jets, engineers needed to redesign the ejection seats because they had been originally designed for men only. The ejection seats were designed for men weighing between 140 lb and 181 lb. Weights of women are now normally distributed with a mean of 170 lb and a standard deviation of 47 lb. Complete parts (a) through (c) below. a. If 1 woman is randomly selected, find the probability that her weight is between 140 lb and 181 lb. The probability is approximately 0.3299. (Round to four decimal places as needed.) b. If 32 different women are randomly selected, find the probability that their mean weight is between 140 lb and 181 lb. The probability is approximately (Round to four decimal places as needed.)