# Probability and Statistics

The number of calls that arrive under a particular time in a cell has been established to be a Poisson distribution. The average number of calls arriving in a cell in 1 millisecond is 5. What is the probability that 8 calls arrive in a cell in a given millisecond?

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1. The average number of events in a 1 ms interval is a = 5.

Fot m=8 events in that same interval, the probability is
a^m* e^-a/m!
= 5^8*e^-5/8!
=3.906*10^5*6.738*10^-3/4.032*10^4
= 0.065

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