Consider a rapid copy facility with two clerks. Three people, A, B, and C, enter simultaneously. A and B go directly to the clerks, and C waits until either A or B leaves before he begins service. a) What is the probability that A is still in the rapid copy office after the other two have left when the service times are exponential with mean m1 and m2. b) What is the expected time until C leaves the rapid copy office.

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Consider a rapid copy facility with two clerks. Three people, A, B, and C, enter simultaneously.
A and B go directly to the clerks, and C waits until either A or B leaves before he begins service. a) What
is the probability that A is still in the rapid copy office after the other two have left when the service
times are exponential with mean m1 and m2. b) What is the expected time until C leaves the rapid copy
office.
1
Transcribed Image Text:Consider a rapid copy facility with two clerks. Three people, A, B, and C, enter simultaneously. A and B go directly to the clerks, and C waits until either A or B leaves before he begins service. a) What is the probability that A is still in the rapid copy office after the other two have left when the service times are exponential with mean m1 and m2. b) What is the expected time until C leaves the rapid copy office. 1
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