The city of Calgary is prone to severe hailstorms. Insurance agents claim that a home owner...
The city of Calgary is prone to severe hailstorms. Insurance
agents claim that a home owner in Calgary can expect to replace
their rook, due to hail damage, once every 10 years. What is the
probability that in 12 years a home owner in Calgary will need to
replace their roof twice because of hail?
Homework Answers
This is Poisson's distribution, lamda = 1 per 10 years
Here, λ = 12/10 = 1.2 and x = 2
As per Poisson's distribution formula P(X = x) = λ^x *
e^(-λ)/x!
We need to calculate P(X = 2)
P(X = 2) = 1.2^2 * e^-1.2/2!
P(X = 2) = 0.2169
Ans: 0.2169
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