During a certain part of the day, an average of five automobiles arrives every minute at the
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During a certain part of the day, an average of five automobiles arrives every minute at the tollgate on a turnpike. Let X be the number of automobiles that arrive in any 1-minute interval selected at random. Let Y be the interarrival time between any two successive arrivals. (The average interarrival time is 1/5 minute.) Assume that X is a Poisson random variable and that Y is an exponential random variable.
(a) Find the probability that at least five cars arrive during a given 1-minute interval.
(b) Find the probability that the time between any two successive cars is less than 1/5 minute.
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Related Book For 
Calculus And Its Applications
ISBN: 9780134437774
14th Edition
Authors: Larry Goldstein, David Lay, David Schneider, Nakhle Asmar
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