he 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?

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 (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?
d. What would the Labor Day weekend expenses have to be for the 5% of the families with the most expensive travel plans?

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