Exercise #1

Explains when the Poisson probability distribution is used. (3 points)

Exercise #2

Consider a Poisson random variable with = 2.5. Use Poisson's formula to calculate the following probabilities:

P(0) (3 points)

P(2) (3 points)

P(1) (3 points)

Exercise #3

Using the Poisson distribution table, determine the probability when:

= 0.8, if x = 2 (2 points)

= 5.0, if x = 5 (2 points)

= 2.5, if x = 3 (2 points)

Exercise #4

The x number of people admitted to an intensive care unit in a particular hospital, on any given day, has a Poisson probability distribution with an average equal to five (5) people per day. What is the probability that the number of people admitted to an intensive care unit, on a particular day, will be three (3)? Solve using Poisson's formula (Mendenhall et al., 2015). (5 points)

Exercise #5

Calculate with a) the formula and b) the table, the Poisson probability when = 4, if x = 8. Certify that with both methods you get the same result. (6 points)