The monthly incomes of an organization follows a normal probability distribution with a mean of $5,000 and a standard deviation of $100.  For what level of income the z-score will be 1.96?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 23PFA
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The monthly incomes of an organization follows a normal probability distribution with a mean of $5,000 and a standard deviation of $100.  For what level of income the z-score will be 1.96?

Expert Solution
Step 1

From the provided information,

Mean (µ) = $5,000

Standard deviation (σ) = $100

Let X be a random variable which represents the income of an organization.

X~N (5000, 100)

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