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# Lecture20 - GEM2900 Understanding Uncertainty Statistical...

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DSAP, NUS, Semester 1, 2008/2009 – 1 GEM2900: Understanding Berwin Turlach Department of Statistics and Applied Probability National University of Singapore

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Bernoulli probability distribution DSAP, NUS, Semester 1, 2008/2009 – 152 A random variable X has a Bernoulli distribution if it only takes the values 0 and 1. That is, if its p.m.f. is x 0 1 p X ( x ) 1 - p p for some p , 0 < p < 1 . If X has a Bernoulli distribution with parameter p , then E[ X ] = p and Var[ X ] = p (1 - p ) = pq where q = 1 - p .
Binomial probability distribution DSAP, NUS, Semester 1, 2008/2009 – 153 There are many experiments that conform either exactly or approximately to the following list of requirements: 1. The experiment consists of a sequence of n trials, where n is fixed in advance of the experiment. 2.

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Lecture20 - GEM2900 Understanding Uncertainty Statistical...

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