4-The grade distribution of a recent exam follows a normal distribution with the following summary: Mean = 74 pts Median = 74 pts Variance = 25 pts a) Approximately what percentage of students scored more than “mean plus two standard deviation"? [P > (u + l0)] b) About what percentage of students scored less than the" mean + one standard deviation?" [P < (µ + 20)] c) Suppose the median changed to 65 points, and the mean and standard deviation remained the same as before. If 100 students took the test, what is the minimum number of students that scored within plus or minus 3 standard deviations from the mean?

4-The grade distribution of a recent exam follows a normal distribution with the following summary: Mean = 74 pts Median = 74 pts Variance = 25 pts a) Approximately what percentage of students scored more than “mean plus two standard deviation"? [P > (u + l0)] b) About what percentage of students scored less than the" mean + one standard deviation?" [P < (µ + 20)] c) Suppose the median changed to 65 points, and the mean and standard deviation remained the same as before. If 100 students took the test, what is the minimum number of students that scored within plus or minus 3 standard deviations from the mean?

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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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Question

4-The grade distribution of a recent exam follows a normal distribution with the following summary:
Mean = 74 pts
Median = 74 pts
Variance = 25 pts
a) Approximately what percentage of students scored more than "mean plus two standard deviation"?
[P > (u + 10)]
b) About what percentage of students scored less than the" mean + one standard deviation?"
[P < (u + 20)]
c) Suppose the median changed to 65 points, and the mean and standard deviation remained the same as
before. If 100 students took the test, what is the minimum number of students that scored within plus or
minus 3 standard deviations from the mean?

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