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4.6 Summary of the binomial formulas

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

Binomial

X ~ B ( n , p )

X = the number of successes in n independent trials

n = the number of independent trials

X takes on the values x = 0,1, 2, 3, ..., n

p = the probability of a success for any trial

q = the probability of a failure for any trial

p + q = 1 q = 1 - p

The mean is μ = np . The standard deviation is σ = npq .
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Source:  OpenStax, Collaborative statistics (custom lecture version modified by t. short). OpenStax CNX. Jul 15, 2013 Download for free at http://cnx.org/content/col11543/1.1
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