Lecture17[1]

# Lecture17[1] - Lecture 17 Bernoulli Distribution Binomial...

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Bernoulli Distribution Binomial Distribution Section 5.4 1 STAT 225, Dallas Bateman, Spring 2010 Lecture 17

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Bernoulli Distribution Some problems in probability involve observing whether a specified event occurs. Noted as a “ success ” or a “ failure Examples : Probability of a head in a single coin flip Probability of having a boy Probability of getting a raise 2 STAT 225, Dallas Bateman, Spring 2010
Bernoulli Distribution Notation : X ~ Bernoulli(p) PMF : : X 0 1 p(x) 1-p p p) p(1 p 2 2 2 2 ) ( 1 ) 1 ( 0 ) ( 1 ) 1 ( 0 ) ( p p X Var p p p X E p p X E 3 STAT 225, Dallas Bateman, Spring 2010

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Bernoulli Example Suppose our class passed (C or better) the last exam with probability 0.75. Let the random variable X be the probability that someone passes the exam. X 0 1 p(x) .25 .75 0.1875 0.75 ) 25 (. 75 . ) 1 ( ) ( ) ( p p X Var p X E ) 75 (. ~ Bernoulli X 4 STAT 225, Dallas Bateman, Spring 2010
Binomial Distribution 5 STAT 225, Dallas Bateman, Spring 2010

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Binomial Distribution You can see that a Bernoulli trial is not that
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## This note was uploaded on 05/19/2011 for the course STAT 225 taught by Professor Martin during the Spring '08 term at Purdue.

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Lecture17[1] - Lecture 17 Bernoulli Distribution Binomial...

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