Consider a server with Poisson job-arrival stream at an average rate of 60 perhour

Chapter 6, Problem 1

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QUESTION:

Consider a server with Poisson job-arrival stream at an average rate of 60 perhour. Determine the probability that the time interval between successive jobarrivals is(a) Longer than 4 min(b) Shorter than 8 min(c) Between 2 and 6 min

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QUESTION:

Consider a server with Poisson job-arrival stream at an average rate of 60 perhour. Determine the probability that the time interval between successive jobarrivals is(a) Longer than 4 min(b) Shorter than 8 min(c) Between 2 and 6 min

ANSWER:

Step 1 of 4

Poisson job arrival with rate r is equivalent to time interval between job arrivals being exponential distribution with parameter

exponential variable:

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