Question

Consider two random variables, X and Y, with joint PDF fxy(x,y)=e-2|y-x^2|-x    x>=0 , y can...

Consider two random variables, X and Y, with joint PDF

fxy(x,y)=e-2|y-x^2|-x    x>=0 , y can be any value

fxy(x,y)=0 otherwise

(1) Determine fY|X(y|x)

(2)Determine E[Y|X=x]

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Use definitions of conditional pdf and marginal pdf to compute the required conditional pdf. To remove the modulus in the pdf, split into

Conditional pdf

Marginal pdf from Joint pdf

Conditional Expectation

In the second part, use definition of conditional expectation.

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