[ Mathematics ] Open Question : An exponential distribution function for problem.?

Note: You should use an exponential distribution function for this problem.

The manager of a fast food restaurant determines that the average time that her customers will wait for service is 2.5 minutes.
A. Find the probability that a customer will wait more than 10 minutes?

B. Find the probability that a customer is served within the first 2 minutes?

C. The manager wants to advertise that anybody who isn’t served within a certain number of minutes gets a free hamburger. However, she doesn’t want to give away free hamburgers to more than 3 percent of her customers. What should the advertisement say; ie. what should the certain number of minutes be? Your answer should be an integer (round up).


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