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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?