# A chicken needs a gap of length at least c minutes in

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Unformatted text preview: arrive in the ﬁrst hour, what is the probability there will be &lt; 2 in the second hour. (c) Suppose that the operator gets to take a break after she has answered 10 calls. How long are her average work periods? 2.6. EXERCISES 95 2.25. Tra c on Rosedale Road in Princeton, NJ, follows a Poisson process with rate 6 cars per minute. A deer runs out of the woods and tries to cross the road. If there is a car passing in the next 5 seconds then there will be a collision. (a) Find the probability of a collision. (b) What is the chance of a collision if the deer only needs 2 seconds to cross the road. 2.26. Calls to the Dryden ﬁre department arrive according to a Poisson process with rate 0.5 per hour. Suppose that the time required to respond to a call, return to the station, and get ready to respond to the next call is uniformly distributed between 1/2 and 1 hour. If a new call comes before the Dryden ﬁre department is ready to respond, the Ithaca ﬁre department is asked to respond. Suppose that the Dr...
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