A random variable is normally distributed with a mean of 40 and a standard deviation of 10. If an observation is randomly selected from the distribution, a. Find the value of x such that it is exceeded by no more than 25% of the distribution values. b. Find the value of x such that it is exceeded by 85% of the distribution values. c. Determine two values of x for which the smaller has 5% of its distribution values below it and the larger has 5% of its distribution values above it.

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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A random variable is normally distributed with a mean of 40 and a standard deviation of 10. If an observation is randomly selected from the distribution,
a. Find the value of x such that it is exceeded by no more than 25% of the distribution values.
b. Find the value of x such that it is exceeded by 85% of the distribution values.
c. Determine two values of x for which the smaller has 5% of its distribution values below it and the larger has 5% of its distribution values above it.
Transcribed Image Text:A random variable is normally distributed with a mean of 40 and a standard deviation of 10. If an observation is randomly selected from the distribution, a. Find the value of x such that it is exceeded by no more than 25% of the distribution values. b. Find the value of x such that it is exceeded by 85% of the distribution values. c. Determine two values of x for which the smaller has 5% of its distribution values below it and the larger has 5% of its distribution values above it.
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