• Men's heights are normally distributed with µ = 71.2499 inches and o = 14.8530 inches • Men's weights are normally distributed with u = pounds 168.5468 pounds and o = 40.0461 • Women's heights are normally distributed with u = 63.7975 inches and o = 9.6149 inches • Women's weights are normally distributed with u = 135.7459 pounds and o = pounds 30.9147 For tasks involving the normal distribution, practice writing answers in terms of the cumulative distribution function for the standard normal distribution P(z): (). (2) -t² /2 e dt, F(x)= ¢ || For example, the answer to the first task (besides converting to a percentage) would be: 78 – 63.7975) Ф 62 – 63.7975 Ф 9.6149 9.6149 1. Navy Pilots The US Navy requires that fighter pilots have heights between 62 inches and 78 inches. (a) Find the percentage of women meeting the height requirement. (b) Find the percentage of men meeting the height requirement. (c) If the height requirements are changed to exclude the tallest 10% of men and the shortest 10% of women, what are the new height requirements?

• Men's heights are normally distributed with µ = 71.2499 inches and o = 14.8530 inches • Men's weights are normally distributed with u = pounds 168.5468 pounds and o = 40.0461 • Women's heights are normally distributed with u = 63.7975 inches and o = 9.6149 inches • Women's weights are normally distributed with u = 135.7459 pounds and o = pounds 30.9147 For tasks involving the normal distribution, practice writing answers in terms of the cumulative distribution function for the standard normal distribution P(z): (). (2) -t² /2 e dt, F(x)= ¢ || For example, the answer to the first task (besides converting to a percentage) would be: 78 – 63.7975) Ф 62 – 63.7975 Ф 9.6149 9.6149 1. Navy Pilots The US Navy requires that fighter pilots have heights between 62 inches and 78 inches. (a) Find the percentage of women meeting the height requirement. (b) Find the percentage of men meeting the height requirement. (c) If the height requirements are changed to exclude the tallest 10% of men and the shortest 10% of women, what are the new height requirements?

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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