and Y = X1. X1, X2-N(0,1) and are independent. Let Z = X² + X (a)...

Question

Question

Answer 1

Answer #1

Z is actually dependent upon the X1 and X2. And hence after knowing (distribution or value of) X1 and X2, we can find distribution of Z.

And as Y=X1, Z is dependent upon Y and X2. So this means after knowing Y and X2, we can get to know about Z

Z= Y² + X₂²

Y²⁼Z-X₂²

But after all Z = X1^2 + X2^2,so we can find Z using X1 and X2 and consequently Y can be found out using Z.

Hence

A) Z is useful to predict Y

B) Y is useful to predict Z

Answer 2

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