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Q16, page 323, Introduction to probability, Joseph k.Blitzstein, Please solve this question. Let X and Y have joint PDF, F X,Y (x, y) = x
Q16, page 323, Introduction to probability, Joseph k.Blitzstein, Please solve this question.
Let X and Y have joint PDF, F X,Y (x, y) = x + y, for 0 < x < 1 and 0 < y < 1.
(a) Check that this is a valid joint PDF.
(b) Are X and Y independent?
(c) Find the marginal PDFs of X and Y .
(d) Find the conditional PDF of Y given X = x.
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