Statistics Graduate Level Quiz
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PROBABILITY FOUNDATIONS
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Let XX be uniformly distributed on [0,1][0,1]. Conditional on X=xX=x, a binary random variable YY satisfies P(Y=1∣X=x)=xP(Y=1|X=x)=x. Let ZZ have the conditional distribution of XX given Y=1Y=1.
Which expression is the CDF of ZZ for 0<=z<=10<=z<=1?
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