{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

post11

# post11 - STAT 511-2 Spring 2012 Lecture 11 Feb 3 2012 Jun...

This preview shows pages 1–2. Sign up to view the full content.

1 STAT 511-2 Spring 2012 Lecture 11 Feb 3, 2012 Jun Xie 3.4 The binomial probability distribution An experiment that satisfies the following conditions is called a binomial experiment. 1. The experiment consists of a sequence of n smaller experiments called trials, where n is fixed in advance of the experiment. 2. Each trial can result in one of the same two possible outcomes (dichotomous trials), which we generically denote by success ( S ) and failure ( F ). 3. The trials are independent, so that the outcome on any particular trial does not influence the outcome on any other trial. 4. The probability of success P ( S ) is constant from trial to trial; we denote this probability by p. Definition The binomial random variable X associated with a binomial experiment consisting of n trials is defined as X = the number of S among the n trials We will often write X ~ Bin( n , p ) to indicate that X is a binomial rv based on n trials with success probability p. The pmf of X ~ Bin( n , p ) is p(x)= = ° ± ² p x (1-p) n-x . Example 31

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 2

post11 - STAT 511-2 Spring 2012 Lecture 11 Feb 3 2012 Jun...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online