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7.3 Exercise 29

Avg difficulty 2.5

Five people wait to use a telephone, currently in use by a sixth person. Suppose time for the six calls (in minutes) are iid, exponential (1/3). What is the distribution for the total time Z from the present for the six calls? Use an appropriate Poisson distribution to determine P(Z≤20)P \left(Z \leq 20\right).

Pfeiffer, Applied Probability, 7.3 Problems on Distribution and Density Functions, exercise 29

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Adapted from Applied Probability © 2009 Paul E. Pfeiffer. Licensed under CC BY 3.0. Source: Applied Probability. Imported at revision d7a0420.