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Unformatted text preview: yden ﬁre department is ready to respond now. Find the
probability distribution for the number of calls they will handle before they
have to ask for help from the Ithaca ﬁre department.
2.27. A math professor waits at the bus stop at the MittagLe✏er Institute in
the suburbs of Stockholm, Sweden. Since he has forgotten to ﬁnd out about
the bus schedule, his waiting time until the next bus is uniform on (0,1). Cars
drive by the bus stop at rate 6 per hour. Each will take him into town with
probability 1/3. What is the probability he will end up riding the bus?
2.28. The number of hours between successive trains is T which is uniformly
distributed between 1 and 2. Passengers arrive at the station according to a
Poisson process with rate 24 per hour. Let X denote the number of people who
get on a train. Find (a) EX , (b) var (X ).
2.29. Consider a Poisson process with rate and let L be the time of the last
arrival in the interval [0, t], with L = 0 if there was no arrival. (a) Comp...
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This document was uploaded on 03/06/2014 for the course MATH 4740 at Cornell.
 Spring '10
 DURRETT
 The Land

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