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In an M/M/1 queuing system, the number of arrivals in an interval of length T is a Poisson random variable i.e. the probability of there being n arrivals in an interval of length T is
eλT(λT)n The probability density function f(t) of the inter- arrival time is given by n!
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- λ2(e−λ2T)
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e−λ2T λ2 - λ2e−λt
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e−λT λ
Correct Option: C
For any Poisson distribution, the probability density function f(t) is given by λe – λt .
