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A grade distribution is normally distributed with a mean of 75 and a standard deviation of 5. Calculate the probability a randomly selected earns a B in the course. (Scores in the rang

A grade distribution is normally distributed with a mean of 75 and a standard deviation of 5. Calculate the probability a randomly selected earns a B in the course. (Scores in the rang

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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A grade distribution is normally distributed with a mean of 75 and a standard deviation of 5. Calculate the probability a randomly selected earns a B in the course. (Scores in the 80 to 90. Round to the hundredths). range
Transcribed Image Text:A grade distribution is normally distributed with a mean of 75 and a standard deviation of 5. Calculate the probability a randomly selected earns a B in the course. (Scores in the 80 to 90. Round to the hundredths). range
Expert Solution
Step 1

It is given that the grade distribution is normally distributed with a mean of 75 and a standard deviation of 5. 

So, if we consider the grades to be denoted by X, then X~N(75, 52)

It is also given that the grade B means score lies between 80 to 90.  We have to find the P(80 < X <90). 

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