Question
Given X~U(0,1) and Y|X=x~N(x,x 2 ) prove that Y/X and X are independent. Show full explanations. [Hints: Note that the distribution of Y|X = x
Given X~U(0,1) and Y|X=x~N(x,x2) prove that Y/X and X are independent. Show full explanations.
[Hints: Note that the distribution of Y|X = x is n(1, 1), hence is independent of X. The bivariate transformation t = y/x, u = x will also show that the joint density factors]
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Math In Plain English Literacy Strategies For The Mathematics Classroom
Authors: Amy Benjamin
1st Edition
1317926757, 9781317926757
