Poisson distribution

Exercise #1 Now that you have studied the binomial probability distribution and the Poisson distribution, which one do you think is easier to use? Explain. Exercise #2 Consider a Poisson random variable with u = 3.0. Use the Poisson formula to calculate the following probabilities: ) P(0) b) P(2) c) P(1) Exercise #3 Using the Poisson distribution table, determine the probability when: a) ??= 0.8, si x= 2 b) ?!= 12.0, six= 8 c) ?!= 2.5, six= 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 u = 4, if x = 6. Certify that with both methods you obtain the same result