Multiple choice

In an M/M1 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 $\frac{e^{-\lambda T(\lambda T)^n}}{n!}$) . The probability density function f(t) of the inter-arrival time is given by

  1. $\lambda^2\bigg(e^{-\lambda^2t}\bigg)$
  2. $\frac{e^{-\lambda^2t}}{\lambda^2}$
  3. $\lambda e^{-\lambda t}$
  4. $\frac{e^{-\lambda^2t}}{\lambda}$
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C Correct answer
Explanation

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