Question

In a typical December, NYC will see a measurable snowfall on four days. Assuming a roughly consistent distribution of snow days across many Decembers and using the formula for the Poisson distribution:

a. Find the probability that it snows 5 times in a given December.
b. Find the probability that it does not snow at all in a given December.

Answer 1

In this question , it is given that the snowfall is roughly and consistently distributed across every december with average of four days. It is also given that the snowfall is a poisson distribution . So by using the method of poissons distribution, we can find out the probability for the required number of days for the snowfall. The question has been solved in detail with required formula below.