The number of messages arriving at a multiplexer is a Poisso

The number of messages arriving at a multiplexer is a Poisson random variable with mean 15 messages/second. Estimate the probability that more than 950 messages arrive in one minute.(Bonus problem)

Solution

Possion Distribution
PMF of P.D is = f ( k ) = e- x / x!
Where   
= parameter of the distribution.
x = is the number of independent trials

number of messages arriving at a mulfiplexer is a Poisson random variable with
mean 15 messages/second
mean rate for arriving at one minute = 60*15 = 900

P( X > = 950 ) = 1 - P (X < 950) = 0.0504

USE the excel formula = (1-POISSON(950,900,TRUE)