The logons to a computer entwork follow a poisson process with an average of 4 logons per minute then the mean time between counts is 0.25 minutes
Let X ~ Pois(λ)
Then we have:
E(X) = λ = Var(X)
Since standard deviation is square root (positive) of variance,
Thus,
Standard deviation of X = √λ
Its probability function is given by
f(k; λ) = Pr(X = k) = (λ^ke^(-λ)/k)
Using the above facts and other facts to calculate the needed information
Since it is given that the log-ons follow Poisson distribution, thus, we have:
Counts per minute = C ~ Pois( λ = 4)
Time per count = T ~ Pois(λ = 1/4)
Mean time between counts = λ = 1/4 = 0.25 minutes approx.
Thus, the logons to a computer entwork follow a poisson process with an average of 4 logons per minute then the mean time between counts is 0.25 minutes
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