Lecture14 - ECO 220Y Lecture 14 Random Variables and...

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ECO 220Y Lecture 14 Random Variables and Probability Distributions Discrete Probability Migiwa Tanaka Reading 7.4 1
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Outline inomial Distribution Binomial Distribution Mean and Variance of Binomial Random Variable lt i h i bt & d h f th i t ib ti Relationship between n & p and the shape of the distribution Cumulative Probabilities 2
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Binomial Distribution inomial Probability Distribution Binomial Probability Distribution p p y n y n y Y P y n y ) 1 ( )! ( ! ! ) ( n y ,..., 2 , 1 , 0 for Parameters for this distribution are p and n . 3
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Binomial Random Variables hat are population mean and variance of a Binomial What are population mean and variance of a Binomial random variable with p and n ? emember that a Binomial random variable Y is sum of n Remember that a Binomial random variable Y is sum of n Bernoulli random variables, X 1 , X 2 ,…,X n n i i X Y 1 By applying laws of expectation… n n n p By applying laws of variance, i i i i i np p X E X E Y E 1 1 1 ] [ ] [  
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Lecture14 - ECO 220Y Lecture 14 Random Variables and...

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