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homework_03

# homework_03 - MIT OpenCourseWare http/ocw.mit.edu 1.010...

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1.010 Fall 2008 Homework Set #3 Due October 2, 2008 (in class) 1. The service stations along a highway are located according to a Poisson process with an average of 1 service station in 10 miles. Because of a gas shortage, there is a probability of 0.3 that a service station would have no gasoline available. Assume that the availabilities of gasoline at different service stations are statistically independent. (a) What is the probability that there is at most 1 service station in the next 15 miles of highway? (b) What is the probability that none of the next 3 stations has gasoline for sale? (c) A driver on this highway notices that the fuel gauge in his car reads empty; from experience he knows that he can go another 15 miles. What is the probability that he will be stranded on the highway without gasoline?
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homework_03 - MIT OpenCourseWare http/ocw.mit.edu 1.010...

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