Common Probability Functions

# Common Probability Functions - Summary of Common...

This preview shows pages 1–3. Sign up to view the full content.

Summary of Common Probability Distributions DISCRETE VARIABLES Binomial P(x) = n! x! n x ( ) ! p x (1 p) n x x = number of succeses p = probability of success n = number of independent trials μ x = n × p σ x 2 = n × p × (1 p) Geometric P(x) = p × (1 p) x 1 = probability of a success on the xth independent trial p = probability of success μ x = 1 p = "return period" σ x 2 = 1 p p 2 Negative Binomial P(x,r) = x 1 r 1 p r (1 p) x r = probability of taking x trials to get r successes p = probability of success μ x = r p σ x 2 = r(1 p) p 2

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Poisson P(x) = e −λ λ x x! = probability of x successes as n → ∞ μ x = λ = np = ν t = expected number of successes in time t ν = frequency of successes σ x 2 = λ Hypergeometric P(x) = R x N R n x N n N = total number of items in population R = number of items in the population with a certain characteristic = pN p = probability of having the characteristic n =
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern