Question

Please verify this is correct. (Someone listed incomplete this is complete; thanks)

1) Wisconsin has an average of 11 snow storms per year.

2) What is the probability that Wisconsin recives less than 20 snow storms next 2 years?

3) =poisson(19,22,true)

4) .3060270206

Answer 1

The answer is correct. Correct answer = 0.3060270206 [ANSWER]

Explanation:

We are given that Wisconsin has an average of 11 snow storms per year which means that in 2 years Wisconsin on average has 22 snow storms.

Let X denote the random variable representing the number of snow storms in Wisconsin in 2 years.

Then, assuming that X follows a Poisson distribution, we get:

X ~ Poisson(22)

Now, the probability that Wisconsin receives less than 20 snow storms in the next 2 years is given by:

We used the "=Poisson(.,.,.)" function in MS-Excel to find the required probability.

Here we used : "=POISSON(19,22,TRUE))" to find the answer.

The first argument in the "=POISSON(.,.,.)" is the value of x at which we want to find probability, the second argument is the parameter of the Poisson distribution and the third argument is "TRUE" when we want to find cumulative distribution function and is equal to "FALSE" if we want to find the Probability Mass function.

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