MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question

Exercise #2
Use the Using Excel for Normal Probabilities instructions for the following.
In a recent year, the ACT scores for high school students with an A or B grade point average were
normally distributed with a mean of 24.2 and a standard deviation of 4.2. A student with an A or B
average who took the ACT during this time is selected.

1. Find the probability that the student’s ACT score is less than 20.

2. Find the probability that the student’s ACT score is greater than 31.

3. Find the probability that the student’s ACT score is between 25 and 32.


4. Find the probability that in a sample of size 100, the mean ACT score is between 25 and 32.


5. Find the cutoffs for the middle 90% for the mean ACT scores in a sample of size 100. 

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