Geometric Distribution

Question 0

What is the PMF of a geometric distribution?

Answer 0

P(X=x) = p(1-p)^n-1

Question 1

What does a Geometric distribution model?

Answer 1

A geometric random variable models the number of successive independent Betnoulli trials that must be performed to obtain the first “success”.

Question 2

What is the expected value of a geometric distribution?

Answer 2

1/p

Question 3

What is the variance of a geometric distribution?

Answer 3

(1-p)/p^2

Question 4

What is the moment generating of the geometric distribution?

Answer 4

Mt(x) = (p/(1-qe^t))

Where P equals the probability of success, q equals the probability of failure.