Question

In a certain geographic location tornados occur on average twice every nine months. What are the...

In a certain geographic location tornados occur on average twice every nine months. What are the odds that exactly three tornados occur in a nine month period?

a. 67%

b. 18%

c. 82%

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Answer #1

Let X denotes the number of tornados occur in a randomly selected nine month period.

X ~ Poisson(2)

The probability mass function of X is

Now,

The probability that exactly three tornados occur in a nine month period

ans-> b) 18%

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