Question

Over the past 15 years, the numbers of hurricanes per year to cause damage in a...

Over the past 15 years, the numbers of hurricanes per year to cause damage in a particular city were 4, 2, 1, 3, 0, 2, 1, 3, 5, 2, 3, 1, 1, 2, and 0.

What is the probability of not having hurricane damage in any 1 year?

What are the average and variance of the number of hurricanes in 1 year?

Math   Statistics-And-Probability   
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Answer #1

this can be approximated as poisson distribution with paramter =expected hurrican per year

=(4+2+1+3+0+2+1+3+5+2+3+1+1+2+0)/15=2

hence probability of not having hurricane damage in any 1 year =P(X=0)=e-2*20/0! =0.1353

average  number of hurricanes in 1 year ==2

variacne of hurricanes in 1 year ==2

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