As reported in "Runner's World" magazine, the times of the finishers in the New York City 10 km run are normally distributed with a mean of 61 minutes and a standard deviation of 9 minutes. Let x denote finishing time for the finishers. a) The distribution of the variable x has mean ____and standard deviation ___. b) The distribution of the standardized variable z has mean ___and standard deviation ____ c) The percentage of finishers with times between 40 and 75 minutes is equal to the area under the standard normal curve between ____ and ____ d) The percentage of finishers with times exceeding 80 minutes is equal to the area under the standard normal curve that lies to the ____ of _____

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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As reported in "Runner's World" magazine, the times of the finishers in the New York City 10 km run are normally distributed with a mean of 61 minutes and a standard deviation of 9 minutes. Let x denote finishing time for the finishers.

a) The distribution of the variable x has mean ____and standard deviation ___.

b) The distribution of the standardized variable z has mean ___and standard deviation ____

c) The percentage of finishers with times between 40 and 75 minutes is equal to the area under the standard normal curve between ____ and ____

d) The percentage of finishers with times exceeding 80 minutes is equal to the area under the standard normal curve that lies to the ____ of _____

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