5. Suppose I'm playing a game where I have a 35% chance to win each time. What is the expected number of times I would win if I played the game 30 times? What is the standard deviation? 6. If I played the game in problem 5, would it be unusual for me to win 20 out of 30 times? Explain how you arrived at your answer using the range rule of thumb. A simple yes or no will receive no credit. 7. I'm considering buying an airplane. How high must the door be so that only the tallest 10% of males will have to bend down to enter the plane? The heights of males have a normal distribution with a mean of 68.6 inches and a standard deviation of 2.8 inches.

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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5. Suppose I'm playing a game where I have a 35% chance to win each time. What is the expected
number of times I would win if I played the game 30 times? What is the standard deviation?
6. If I played the game in problem 5, would it be unusual for me to win 20 out of 30 times? Explain how
you arrived at your answer using the range rule of thumb. A simple yes or no will receive no credit.
7. I'm considering buying an airplane. How high must the door be so that only the tallest 10% of males
will have to bend down to enter the plane? The heights of males have a normal distribution with a
mean of 68.6 inches and a standard deviation of 2.8 inches.
Transcribed Image Text:5. Suppose I'm playing a game where I have a 35% chance to win each time. What is the expected number of times I would win if I played the game 30 times? What is the standard deviation? 6. If I played the game in problem 5, would it be unusual for me to win 20 out of 30 times? Explain how you arrived at your answer using the range rule of thumb. A simple yes or no will receive no credit. 7. I'm considering buying an airplane. How high must the door be so that only the tallest 10% of males will have to bend down to enter the plane? The heights of males have a normal distribution with a mean of 68.6 inches and a standard deviation of 2.8 inches.
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