Poisson Distribution

Question 0

What is the variance of a Poisson distribution?

Answer 0

Lambda

Question 1

What is the expected value of a Poisson distribution?

Answer 1

lambda

Question 2

What is the Poisson Distribution most commonly used to model?

Answer 2

The Poisson distribution is most commonly used to model the number of random occurrences of some phenomenon in a specified unit of space or time.

Question 3

If you have two distributions with Lambda1 and Lambda2 what do you get when you add them together?

Answer 3

You can add the two distributions together to get a new distribution Lambda3.

Lambda3 = Lambda1 + Lambda2

Question 4

Lambda = 4 accidents/day. Calculate the lambda for 2 days.

Answer 4

Lambda = 2(4 accidents / day) = 8 accidents/day

Question 5

What is the PMF of the Poisson Distribution?

Answer 5

P(X=x) = (e^-L * L^x)/x!

Where L equals the function’s lambda.

Question 6

What is the moment generating function of the Poisson Distribution?

Answer 6

e^L(e^t - 1)

Where L equals the lambda if the function.