LEC09 Binomial

LEC09 Binomial - Common Discrete Probability Distribution...

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Common Discrete Probability Distribution Functions The Binomial r.v. Experiment: There are N independent trials. The outcome for each trial is success with probability p and failure with probability 1-p. r.v. X = number of successes in N independent trials possible values: X = 0, 1, . .. N pdf: f x P X x N x p p x N x ( ) ( ) ( ) = = = - - 1 x = 0,1, parameters: 0<p<1 and N mean and var: E(X) = Np V(X)=Np(1-p)
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Notes on the Binomial Definition of combination notation: f x P X x N x p p where N x N x N x N x N x ( ) ( ) ( ) ! !( )! = = = - = - = - 1 0 1 x = 0,1, . .., N and How to find the mean and variance E X x N x p p Np x N x N x ( ) (1 ) = - = = - 0 2
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The prob. of success is .6. There are 4 independent trials. Find the probability of 2 successes.
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LEC09 Binomial - Common Discrete Probability Distribution...

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