Question
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.
- An advanced explanation of the normal distribution
- Why the normal distribution might apply to this situation
- Describe the specific normal distribution for this situation (give the mean and standard deviation)
- Explain how the graph was created in part b. represents the waiting times of the customers.
- 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.
- 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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