Answered: A certain Probability & Statistics…

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

A certain Probability & Statistics instructor assigns letter grades on tests using the following scheme. A: The top 13% of the scores. B : Scores below the top 13% and above the bottom 60%. C: Scores below the top 40% and above the bottom 24%. D : Scores below the top 76% and above the bottom 8%. F : The bottom 8% of the scores. Scores on the tests are normally distributed with a mean of 77.4 and a standard deviation of 7.9 . Find the numerical limits for a grade of C. Round your answer to the nearest whole number if necessary.

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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