The American Automobile Association (AAA) reported that families planning to travel over the labor day weekend would spend an average of $749. Assume that the amount spent is normally distributed with a standard deviation of $225. Answer the following questions:What is the probability of family expenses for being less than $400?What is the probability of family expenses for being $800 or more?What is the probability that family expenses will be between $500 and $1000?What would be the Labor Day weekend expenses have to be for the 5% of the families with the most expensive travel plans?

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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The American Automobile Association (AAA) reported that families planning to travel over the labor day weekend would spend an average of $749. Assume that the amount spent is normally distributed with a standard deviation of $225. Answer the following questions:

What is the probability of family expenses for being less than $400?
What is the probability of family expenses for being $800 or more?
What is the probability that family expenses will be between $500 and $1000?
What would be the Labor Day weekend expenses have to be for the 5% of the families with the most expensive travel plans?

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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