Question

6) The average number of claims per hour made to the CGN Insurance Company for damages or losses incurred when moving from one residence to another is 14.7. What is the probability that in any given hour: a) fewer than ten claims will be made? b) exactly sixteen claims will be made? c) twelve or more claims will be made? d) more than eighteen claims will be made?

Answer 1

6)
lambda = 14.7

a)
P(X < 10) = 0.0802

b)
As per Poisson's distribution formula P(X = x) = λ^x * e^(-λ)/x!

P(X = 16) = 0.0938

c)
P(X > = 12) = 0.7946

d)
P(X > 18) = 0.16