This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes. Exercise (a) Find the probability that a customer has to wait more than 5 minutes.

23.97% probability that a customer has to wait more than 5 minutes.

Step-by-step explanation:

The exponential probability distribution, with mean m, is described by the following equation:

In which is the decay parameter.

The probability that x is lower or equal to a is given by:

Which has the following solution:

The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.

This means that . So

Find the probability that a customer has to wait more than 5 minutes.

Either the customer has to wait for 5 minutes or less, or he has to wait for more than 5 minutes. The sum of the probabilities of these events is decimal 1. So

We want . So

In which

23.97% probability that a customer has to wait more than 5 minutes.