For certain workers, the mean wage is $6.00/hr, with a standard deviation of $0.75. If a worker is chosen at random, what is the probability that the worker's wage is between $4.50 and $7.50? Assume a normal distribution of wages. The probability is (Type an integer or decimal rounded to the nearest thousandth as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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For certain workers, the mean wage is $6.00/hr, with a standard deviation of $0.75. If a worker is chosen at random,
what is the probability that the worker's wage is between $4.50 and $7.50? Assume a normal distribution of wages.
The probability is
(Type an integer or decimal rounded to the nearest thousandth as needed.)
Transcribed Image Text:For certain workers, the mean wage is $6.00/hr, with a standard deviation of $0.75. If a worker is chosen at random, what is the probability that the worker's wage is between $4.50 and $7.50? Assume a normal distribution of wages. The probability is (Type an integer or decimal rounded to the nearest thousandth as needed.)
Expert Solution
Step 1

Let X be the random variable from normal distribution with mean (μ) = 6.00, standard deviation (σ) = 0.75

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