Question: Forasequenceofindependent,identicalbinarytrials,explainwhytheprobabilitydistribution for Y = the numberofsuccessesbeforefailurenumber k occurshasprobabilityfunction This distribution,studiedfurtherin Section 7.5.2 for analyzingcountdata,iscalledthe neg- ative binomialdistribution. (y;k, ) = ( + k 1 )

Forasequenceofindependent,identicalbinarytrials,explainwhytheprobabilitydistribution for Y = the numberofsuccessesbeforefailurenumber k occurshasprobabilityfunction(y;k, ) = ( + k 1 ) (1 )*;, y= 0,

This distribution,studiedfurtherin Section 7.5.2 for analyzingcountdata,iscalledthe neg-
ative binomialdistribution.

(y;k, ) = ( + k 1 ) (1 )*;, y= 0, 1, 2,.... (2.19) Y

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