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Filename: controllers/calculator.php

Line Number: 37

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according to Poisson processis 2/min.

If N is number of hits received in 1 min.

P(N=2) = e

Next is if Q is number of min that had 2 hits in 5 mins. This is a binomial distribution

P(Q=5) = C(5,5)(2e

= 32 x e

recurrence relation.

The given variance is 2

P(x=0) = e

Recurrence relation the formula is

P (x = r+1) = λ/r+1 P(x =r)

P(x=1) = λ/1 P(x=0) = 2 x 0.135 = 0.27

Now substitute all the values 3,4,5 into the formula to get the answer.

P(x=3) = 0.18; P(x=4) = 0.09; P(x=5) = 0.036