Suppose that the scores of a history test are normally distributed with a mean of 565 and a standard deviation of 113. a) What percentage of the scores are less than 450? b) What percentage of the scores are greater than 500? c) What percentage of the scores are between 550 and 600? d) Suppose you pick an individual history test at random, what is the probability that the score on the test is between 575 and 625?

Suppose that the scores of a history test are normally distributed with a mean of 565 and a standard deviation of 113. a) What percentage of the scores are less than 450? b) What percentage of the scores are greater than 500? c) What percentage of the scores are between 550 and 600? d) Suppose you pick an individual history test at random, what is the probability that the score on the test is between 575 and 625?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Suppose that the scores of a history test are normally distributed with a mean of 565 and a standard deviation of 113.

a) What percentage of the scores are less than 450?

b) What percentage of the scores are greater than 500?

c) What percentage of the scores are between 550 and 600?

d) Suppose you pick an individual history test at random, what is the probability that the score on the test is between 575 and 625?

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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