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Stat400Lec7(Ch2.5) - Stat 400 Lecture 7 Spring 2012...

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Stat 400 Lecture 7 Spring 2012 Review(2.4) Bernoulli distribution and its mean, variance. Binomial distribution and its p.m.f., properties. Cumulative distribution function and its properties. Geometric distribution and Negative binomial distri- bution 1 of 9
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Stat 400 Lecture 7 Spring 2012 Binomial v.s. Hypergeometric distribution Example: A jar has N marbles, S of them are orange and N - S are blue. Suppose 3 marbles are selected. Find the probability that there are 2 orange marbles in the sample, if the selection is done ... with replacement without replacement (a) N =10, S=4 (b) N= 100, S =40 (c) N=1000, S=400 If the population size is large (compared to the sample size) Binomial Distribu- tion can be used regardless of whether sampling is with or without replacement. 2 of 9
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Stat 400 Lecture 7 Spring 2012 Geometric and Negative binomial distribution Example: Suppose that during practice, a basket ball player can make a free throw 80% of the time. Further- more, assume that a sequence of free throw shooting can be thought of as independent Bernoulli trials. Let X 1 equal the number of free throws that this player must attempt to make a total of 1 shot. What is the distribution of X 1 .
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