Can someone help me with this please? Can you show me the steps to follow to get the results?

present the processes necessary to support the answers to the exercises and round the final results not the intermediate values that appear during the calculations to two decimal places, when necessary.

Exercise 1

in binomial probability distribution and the Poisson distribution, which do you think is easier to use? Explain.

Exercise 2

3) Consider a Poisson random variable with = 3.0. Use the Poisson formula to calculate the following probabilities:

P (0)

P (2)

P (1)

Exercise 3

Using the Poisson distribution table, determine the probability when:

= 0.8, if x = 2

= 12.0, if x = 8

= 2.5, if x = 3

Exercise # 4

The number x of people admitted to an intensive care unit in a particular hospital, on any day, has a Poisson probability distribution with mean 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, is three (3)? Solve using the Poisson formula (Mendenhall et al., 2015).

Exercise # 5

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