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Unformatted text preview: t arrive during this time go away never to return.
(a) At what rate does the dealer make sales? (b) What fraction of customers
3.10. One of the di culties about probability is realizing when two di↵erent
looking problems are the same, in this case dealing cocaine and ﬁghting ﬁres.
In Problem 2.26, calls to a ﬁre station arrive according to a Poisson process
with rate 0.5 per hour, and the time required to respond to a call, return to
the station, and get ready to respond to the next call is uniformly distributed 3.5. EXERCISES 115 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. What
fraction of calls must be handled by the Ithaca ﬁre department
3.11. A young doctor is working at night in an emergency room. Emergencies
come in at times of a Poisson process with rate 0.5 per hour. The doctor can
only get to sleep when it has been 36 minutes (.6 hours) since the last emergency.
For example, if there is an emergency at 1:...
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This document was uploaded on 03/06/2014 for the course MATH 4740 at Cornell University (Engineering School).
- Spring '10
- The Land