The completion time for male Olympic marathon runners is approximately normally distributed witha mean of 140.59 minutes and a standard deviation of 8.01 minutes. The completion time for femaleOlympic marathon runners is approximately normally distributed with a mean of 156.14 minutes anda standard deviation of 9.62 minutes. A runner's time was recorded as 157.90 minutes but theirgender was not recorded. Given that it is unusual for an observation to fall more than two standarddeviations from the mean in an approximately normal distribution, which of the following statementsis true?(A) The time of 157.90 minutes would be considered unusual for both male and female Olympicmarathon runners.(B) The time of 157.90 minutes would not be considered unusual for either male or female Olympicmarathon runners.(C) The time of 157.90 minutes would be considered unusual for male but not for female Olympicmarathon runners.(D) The time of 157.90 minutes would be considered unusual for female but not for male Olympicmarathon runners.(E) We do not have enough available information to make a determination if the time is unusual.

First, we need to calculate the range of usual times for male runners. This is done by calculating…

Answered: The completion time for male Olympic…

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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A vending machine is designed to dispense a mean of 7.4 oz of coffee into an 8-oz cup. If the standard deviation of the amount of coffee dispensed is 0.4 oz and the amount is normally distributed, find the percent of times the machine will dispense less than 7.44 oz
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