Question

In: Statistics and Probability

Based on recent data, there are on average 1.3 days per winter where snowfall reaches more...

Based on recent data, there are on average 1.3 days per winter where snowfall reaches more than 6 inches in Central Park, New York City. We’ll call these “snow days”.

Assume that there were more than 2 “snow days” this winter. What is the chance that exactly 4 such days occur?

Expert Solution

When we are interested in the occurrence of certain events in a fixed interval of time, Poisson distribution follows.

Let the random variable, X = number of days per winter where snowfall reaches more than 6 inches in Central Park, New York City.

The random variable X follows a Poisson distribution with mean = 1.3 days

Using the conditional distribution formula,

where,

and

Now,

For calculation purposes, the probabilities such that P(X=4) and P(X>2) are obtained in excel using the function =POIS.DIST(). The screenshot is shown below,

orchestra answered 1 year ago

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