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Suppose that X and Y have a joint probability density function (pdf)

f(x; y) =

k(x + 2y) for 0 < x < 1 and 0 < y < 1;

0 otherwise.

(a) Find k such that f(x; y) is indeed a valid pdf.

(b) Find the marginal pdf of Y .

(d) Find the conditional pdf fXjY (x j y).

(e) Find P(X 0:5 j Y = 0:5).

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M9992017

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