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Back to 5.3 The Exponential Distribution

5.3 Exercise 11

Avg difficulty 2.5

Suppose that the length of a phone call, in minutes, is an exponential random variable with decay parameter 1 12 \frac{1}{12}. If another person arrives at a public telephone just before you, find the probability that you will have to wait more than five minutes. Let X = the length of a phone call, in minutes.

What is m, μ, and σ? The probability that you must wait more than five minutes is _______ .

OpenStax Introductory Statistics 2e, 5.3 The Exponential Distribution, exercise 11

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Adapted from Introductory Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Statistics 2e. Imported at revision 50ec917.