W4-slides3 - Lecture 12- Outline and Examples Discrete...

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Unformatted text preview: Lecture 12- Outline and Examples Discrete probability distributions-Negative Binomial (Ross 4.8.2)-Properties of cumulative distribution functions (Ross 4.10)-Review of Chapters 3 and 4 Negative Binomial Distribution. 4.8.2 Let X r denote the number of trials until the r th success in Bernoulli ( p ) trials. Then X r is called the negative binomial distribution with parameters r and p and its distribution is given by the following formula: Negative Binomial Distribution. 4.8.2 Let X r denote the number of trials until the r th success in Bernoulli ( p ) trials. Then X r is called the negative binomial distribution with parameters r and p and its distribution is given by the following formula: p X r ( n ) P ( X r = n ) Negative Binomial Distribution. 4.8.2 Let X r denote the number of trials until the r th success in Bernoulli ( p ) trials. Then X r is called the negative binomial distribution with parameters r and p and its distribution is given by the following formula: p X r ( n ) P ( X r = n ) = P ( r- 1 successes in the first n- 1 trials, and trial n is a success) Negative Binomial Distribution. 4.8.2 Let X r denote the number of trials until the r th success in Bernoulli ( p ) trials. Then X r is called the negative binomial distribution with parameters r and p and its distribution is given by the following formula: p X r ( n ) P ( X r = n ) = P ( r- 1 successes in the first n- 1 trials, and trial n is a success) = n- 1 r- 1 p r- 1 (1- p ) ( n- 1)- ( r- 1) p Negative Binomial Distribution. 4.8.2 Let X r denote the number of trials until the...
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W4-slides3 - Lecture 12- Outline and Examples Discrete...

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