Answered: The American Automobile Association…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...

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Question

The American Automobile Association (AAA) reported that families planning to travel
over the Labor Day weekend would spend an average of $749 (The Associated Press,
August 12, 2012). Assume that the amount spent is normally distributed with a standard
deviation of $225.
a. what is the probability of family expenses for the weekend being less that $400?
b. what is the probability of family expenses for the weekend being $800 or more?
c. what is the probability that family expenses for the weekend will be between $500
and $1000?

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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