Answered: Assume that X, the starting salary…

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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Probability computations using the standard normal distribution

Assume that X, the starting salary offer for education majors, is normally distributed with a mean of $46,292 and a standard deviation of $4,320.

Use the following Distributions tool to help you answer the questions. (Note: To begin, click on the button in the lower left hand corner of the tool that displays the distribution and a single orange line.)

Standard Normal Distribution

Mean = 0.0

Standard Deviation = 1.0

-4-3-2-101234z

The probability that a randomly selected education major received a starting salary offer greater than $52,350 is .

The probability that a randomly selected education major received a starting salary offer between $45,000 and $52,350 is .

(Hint: The standard normal distribution is perfectly symmetrical about the mean, the area under the curve to the left (and right) of the mean is 0.5. Therefore, the area under the curve between the mean and a z-score is computed by subtracting the area to the left (or right) of the z-score from 0.5.)

What percentage of education majors received a starting offer between $38,500 and $45,000?

93.32%

6.68%

34.62%

65.38%

Twenty percent of education majors were offered a starting salary less than

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