This preview shows pages 1–7. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Lecture 12 Outline and Examples Discrete probability distributionsNegative 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...
View
Full
Document
 Spring '10
 RohiniKumar
 Binomial, Probability

Click to edit the document details