Transcription of Joint Distribution - Example
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Lecture 17: Joint DistributionsStatistics 104 Colin RundelMarch 26, 2012 Section Distributions of Discrete RVsJoint Distribution - ExampleDraw two socks at random, without replacement, from a drawer full oftwelve colored socks:6 black, 4 white, 2 purpleLetBbe the number of Black socks,Wthe number of White socksdrawn, then the distributions ofBandWare given by:012P(B=k)612511=15662612611=366661251 1=1566P(W=k)812711=28662412811=326641231 1=666 Note -B HyperGeo(12,6,2) =(6k)(62 k)(122)andW HyperGeo(12,4,2) =(4k)(82 k)(122)Statistics 104 (Colin Rundel)Lecture 17 March 26, 20121 / 32 Section Distributions of Discrete RVsJoint Distribution - Example , the number of Black socks andWthe number of White socksdrawn, then the Joint Distribution ofBandWis given by:W01201668666661566B112662466036662156 6001566286632666666666P(B=b,W=w) = 1/66 I
Lecture 17: Joint Distributions Statistics 104 Colin Rundel March 26, 2012 Section 5.1 Joint Distributions of Discrete RVs Joint Distribution - Example Draw two socks at random, without replacement, from a drawer full of twelve colored socks: 6 black, 4 white, 2 purple Let B be the number of Black socks, W the number of White socks
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