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Summary of the Discrete Probability Functions

Module by: Kathy Chu. E-mail the author

Based on: Discrete Random Variables: Summary of the Discrete Probability Functions by Susan Dean, Barbara Illowsky, Ph.D.

Summary: This module provides a review of the binomial, geometric, hypergeometric, and Poisson probability distribution functions and their properties.

Formula 1: Binomial

XX~B(n,p)B(n,p)

XX = the number of successes in nn independent trials

nn = the number of independent trials

XX takes on the values x=x= 0,1, 2, 3, ...,nn

pp = the probability of a success for any trial

qq = the probability of a failure for any trial

p+q=1 q=1-pp+q=1 q=1-p

The mean is μ=npμ=np. The standard deviation is σ=npqσ=npq.

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