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# exam3 - EECS 501 EXAM#3 Fall 2001 PRINT YOUR NAME HERE...

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EECS 501 EXAM #3 Fall 2001 PRINT YOUR NAME HERE: HONOR CODE PLEDGE: ”I have neither given nor received aid on this exam, nor have I concealed any violations of the honor code.” Open book; SHOW ALL OF YOUR WORK! SIGN YOUR NAME HERE: (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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exam3 - EECS 501 EXAM#3 Fall 2001 PRINT YOUR NAME HERE...

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