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Unformatted text preview: . It has been decided that A gets the rst kidney (or B if A is already dead) and the next one to B (if still living). (a) What is the probability that A obtains a new kidney? (b) What is the probability that B obtains a new kidney? 5.35 Show that denition 5.1 of a Poisson process implies denition 5.3. 5.42 Let { N ( T ) ,t } be a Poisson process with rate . Let S n denote the time of the n th event. Find (a) E ( S 4 ) (b) E ( S 4  N (1) = 2) (c) E ( N (4)N (2)  N (1) = 3] 5.60 Customers arrive at a bank at a Poisson rate . Suppose two customers arrived during the rst hour. What is the probability that (a) both arrived during the rst 20 minutes? (b) at least one arrived during the rst 20 minutes?...
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This note was uploaded on 10/29/2011 for the course ORIE 3510 taught by Professor Resnik during the Spring '09 term at Cornell University (Engineering School).
 Spring '09
 RESNIK

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