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by: Mr. Jaycee Schmidt

ProbStat STAT 344

Mr. Jaycee Schmidt
GPA 3.81

Robert Sims

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Robert Sims
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This 1 page Study Guide was uploaded by Mr. Jaycee Schmidt on Monday September 28, 2015. The Study Guide belongs to STAT 344 at George Mason University taught by Robert Sims in Fall. Since its upload, it has received 43 views. For similar materials see /class/215207/stat-344-george-mason-university in Statistics at George Mason University.

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Date Created: 09/28/15
Chapter 4 Quiz Scope 1 Know about continuous distributions Be able to match a list of distribution family names with the pdfs in a list Know the domains of possible values Know the mean and variance for the normal uniform and gamma distributions The exponential and chi squared distributions are from the gamma family with the parameters written differently To obtain the mean and variance of the exponential distribution from the gamma formula let 011 and B1 To obtain the mean and variance ofthe chi square distribution let OlV2 and B2 Be able to do this Normal pdf fxpo 6 fa WU z Domain 00 00 EX p VarX 02 R cdf pnormx mean sd Uniform and Standard Beta distribution Uniform pdf fx A B Domain A S x S B special case AO B 1 is a standard beta with 011 and B 1 EX AB2 VarX B A12 R cdf punifx min max note min A max B Standard Beta I ai df f P X Bl moorm Domain OSxS 1 EXcxcxB VarXch 01B201 B1 Rcdfpbetaxshape1shape2 shape1otshape23 xa 11 xB 1 Exponential Gamma and Chisquared families Exponential pdf fxequot x Domain 0 00 density 0 otherwise A gt 0 EX 17 VarX 1A2 R cdf pexpx rate note A is the rate Gamma a 1 xB pdf fx a 3 Bell100x 6 Domain 0 00 density Ootherwise 01 gt 0 8 gt 0 EX 043 VarX 0th Rcdf pgammax shape scale note shape 0L scale B


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