A company prices its tornado insurance using the

Answered question

2022-03-12

A company prices its tornado insurance using the following assumptions:• In any calendar year, there can be at most one tornado.• In any calendar year, the probability of a tornado is 0.09.• The number of tornadoes in any calendar year is independent of the number of tornados in any other calendar year.Using the company's assumptions, calculate the probability that there are fewer than 4 tornadoes in a 21-year period.

Answer & Explanation

nick1337

nick1337

Expert2022-03-21Added 777 answers

Solution

Given that ,

Using binomial probability formula ,

P(X=x)=(Cxn)·px·(1-p)n-x

P(X 4)=P(X=0)+P(X=3)

=C021·0.0921·(0.91)18+(C317)*0.0920·(0.91)3

= 0.5396

Probability = 0.5396

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