Suppose that arrivals to a coffee shop follow a Poisson process with average rate of one customer every 5 minutes. What are the probabilities of (a) no customers in 5 minutes; (b) exactly one customer in a minute; (c) exactly two customers in 2 minutes; and (d) at least two customers in 10 minutes?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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Suppose that arrivals to a coffee shop follow a Poisson process with average rate of one customer every 5 minutes. What are the probabilities of (a) no customers in 5 minutes; (b) exactly one customer in a minute; (c) exactly two customers in 2 minutes; and (d) at least two customers in 10 minutes?

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