Answered: The scores on a test for children in an…

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

The scores on a test for children in an eighth grade class is normally distributed with a mean of 70 and a standard deviation of 4.2

a) What is the probability a test score is less than a 77?

z =

probability =

b) Pearl E. Gates has a test score called S. If another child in the class is picked at random, the probability that the other child has a score higher than Pearl is 0.56.

Find the z-value for Pearl's test score.

Based on the z-score you found, what is Pearl’s test score.

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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