Answered: Normal Distribution The test scores…

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

1. Normal Distribution

The test scores of CIT-U Math 031 students are normally distributed with a mean of 35 and standard deviation of 5.

Find the probability that a randomly selected Math 031 student has a test score that is.

a. less than 60

b. between 23 and 43

c. greater than 35

d. Find the test score that separates the bottom 30% from the top 70%

e. If a student scores in the top 10% of all test scores, her test score is at least what?

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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