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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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10

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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