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that the wait times for customers are normally distributed with a mean of 16 minutes and a standard deviation of 3.7 minutes. What is the

that the wait times for customers are normally distributed with a mean of 16 minutes and a standard deviation of 3.7 minutes. What is the maximum wait time you would advertise to customers so that you only give away free meals to at most 1.5% of the customers?

Estimate of an advertised maximum time that 1.5% of the customers would get a free meal. Round to one decimal place.

Create an example of a graph illustrating the solution. don't make an empirical rule graph, just include the mean and the mark area that corresponds to the 1.5% who would receive the refund.

  1. An advanced explanation of the normal distribution
  2. Why the normal distribution might apply to this situation
  3. Describe the specific normal distribution for this situation (give the mean and standard deviation)
  4. Explain how the graph was created in part b. represents the waiting times of the customers.
  5. Explain the answer to part a. in terms of both the customers who get a free meal and those who do not. Feel free to use the accurate answer in part a to determine a "nice" wait time to be used in the actual advertising campaign.
  6. Using parts a. and b. to explain how the proposal will not result in a loss of profit for the company.

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