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?

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:

  1. What is the probability of family expenses for being less than $400?
  2. What is the probability of family expenses for being $800 or more?
  3. What is the probability that family expenses will be between $500 and $1000?
  4. What would be the Labor Day weekend expenses have to be for the 5% of the families with the most expensive travel plans?
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:
1. What is the probability of family expenses for being
less than $400?
2. What is the probability of family expenses for being
$800 or more?
3. What is the probability that family expenses will be
between $500 and $1000?
4. What would be the Labor Day weekend expenses have
to be for the 5% of the families with the most
expensive travel plans?
Transcribed Image Text: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: 1. What is the probability of family expenses for being less than $400? 2. What is the probability of family expenses for being $800 or more? 3. What is the probability that family expenses will be between $500 and $1000? 4. 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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