EECS 501
EXAM #3
Fall 2001
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(30) 1. At 6:00 PM, EECS 501 students start arriving for their EECS 501 exam.
ESE students arrive in a Poisson process with average arrival rate
λ
=5/minute.
CSE students arrive in a Poisson process with average arrival rate
λ
=4/minute.
EES students arrive in a Poisson process with average arrival rate
λ
=3/minute.
All students arrive independently of each other.
(05) a. Compute Pr[3 ESE and 2 CSE students arrive between 6:00 and 6:02]. Simplify.
(05) b. Compute pdf for t=#
minutes
after 6:00 that the first student
of any type
arrives.
(05) c. Compute Pr[exactly 3 of the first 5 students to arrive are ESE students].
(05) d. Compute Pr[the 2
nd
EES student to arrive arrives after 6:05]. Use Poisson pmf.
(05) e. Compute Pr[the 2
nd
EES student to arrive arrives after 6:05]. Use Erlang pdf.
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 Spring '10
 Lehman
 Probability theory, average arrival rate

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