POISSON DISTRIBUTION

Solution:

a) For x = 6 calls in 5 minutes.

b) A Poisson Distribution for m=5

Number of calls, x Probability, P(x)

0 0.007

1 0.034

2 0.084

3 0.140

4 0.176

5 0.104

6 0.146

7 0.104

8 0.065

9 0.036

10 0.018

These 11 possible events are not exhaustive set since x values above 10 are possible. Therefore they sum up to 0.986 not 1.