The service stations along a highway are located according to a Poisson distribution in space, with an average of 1 service station in 15 miles. There is a probability of 0.3 that a service station would have no gasoline available.  What is the probability that there is at most one service stations in the next 45 miles?  Please round your result to two decimal places.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 29T
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The service stations along a highway are located according to a Poisson distribution in space, with an average of 1 service station in 15 miles. There is a probability of 0.3 that a service station would have no gasoline available. 

What is the probability that there is at most one service stations in the next 45 miles?  Please round your result to two decimal places. 

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