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5.3 Exercise 8

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}. The decay p[parameter is another way to view 1/λ. 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 Business Statistics 2e, 5.3 The Exponential Distribution, exercise 8

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