Normal Distribution. Please show the solution of the answer. Thank you 4. Entry to a certain University is determined by a national test. The scoreson this test are normally distributed with a mean of 500 and a standarddeviation of 100. Tom wants to be admitted to this university and heknows that he must score better than at least 70% of the students whotook the test. Tom takes the test and scores 585. Will he be admitted tothis university?

Answered: 4. Entry to a certain University is…

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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Normal Distribution. Please show the solution of the answer. Thank you

4. Entry to a certain University is determined by a national test. The scores
on this test are normally distributed with a mean of 500 and a standard
deviation of 100. Tom wants to be admitted to this university and he
knows that he must score better than at least 70% of the students who
took the test. Tom takes the test and scores 585. Will he be admitted to
this university?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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