(This is due to collisions)
we must model the arrival process analytically:
(This material is beyond the scope of a networking course....)
Example:
Then:
Give a formula to compute these probabilities.
Note:
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e^{-λτ} (λτ)^{k} Prob[ k arrivals in τ sec ] = ------------- k!
(e = the base of the natural log function (= 0.2718281828....))
e^{-10*1} (10*1)^{0} Prob[ 0 arrivals in 1 sec ] = --------------- 0! = e^{-10} = 0.00004539992