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This 1 page Class Notes was uploaded by Mr. Jaycee Schmidt on Monday September 28, 2015. The Class Notes belongs to STAT 344 at George Mason University taught by Daniel Carr in Fall. Since its upload, it has received 19 views. For similar materials see /class/215208/stat-344-george-mason-university in Statistics at George Mason University.
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Date Created: 09/28/15
Chapter 3 Quiz Scope 1 Four Distributions Memorize the following Be able to fill in blank lines compute means and variances given parameter values and answer questions Binomial PMF bxnp CKquot pquot 1 pquotquot x number of successes Domain x 0 n Parameters p probability of success n number of trials Conditions Trials are independent and p stays the same R cumulative probability function pbinomxsizen probp EX np VX npllP Special case distribution Bernoulli n1 Hypergeometric Using Book Notation PMF hxn MN cxIVI cIVI cquotN x number of type M Domain max0n NM lt x ltminnM Parameters M type 1 case N M type 2 cases n number oftrials Conditions Population with fixed numbers of two types A and B such as Male and Female Sampling n items without replacement each subset of n is equally likely R cumulative probability function phyperxMNMn Let p MN and c NnN1 c can be thought of as a finite population correction factor EX np VX cnp1 p Compare this with the binomial mean and variance Negative Binomial PMF bxlrlp Cr1xr1 PTO 10quot X the number of failure before the rth success Domain x 012 Parameters r number of successes Conditions Bernoulli trials are independent and p stays the same R cumulative probability pnbinomxsizerprobp EX r1pp VX r1pp2 Special case variant Geometric distribution one success and x the number oftrials Poisson PMF px A eWx X the number of occurrences Domain x 012 Parameters A often a rate per unit time or rate per unit area R cumulative probably function ppoisxlambda lowertailTRUE Mean and Variance A A