{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Lecture16(10-01-2008)

# Lecture16(10-01-2008) - 36-225 Handout for Lecture 16...

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

36-225 - Handout for Lecture # 16 October 1, 2008 Special Discrete Random Variables - Review I. The Binomial Random Variable – X Bin( n, p ). X counts the number of successes out of n independent (Bernoulli) trials, each having a probability of “success” p . II. The Geometric Random Variable – X Geom( p ). Consider a series of independent (Bernoulli) trials, each having probability of “success” p . X is the number of trials until the first “success”. Comment: The geometric random variable is the only discrete random variable that has the memoryless property: P ( X > a + b | X > a ) = P ( X > b ). III. The Negative Binomial Random Variable – X NB( r, p ). Consider a series of independent (Bernoulli) trials, each having probability of “success” p . X is the number of trials until we get r “successes”. Clearly, NB(1 , p ) is the same as Geom( p ). IV. The Hypergeometric Random Variable – X HG( n, N, r ). A sample of size n is chosen (without replacement) from a group of size N that has r “successes” (and N - r “failures”). X is the number “successes” in the sample.

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 ]}