Determine the value of c that makes the function f 1x, y2 cxy a joint probability

Chapter 5, Problem 5-15

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Determine the value of c that makes the function f 1x, y2 cxy a joint probability density function over the range 0 x 3 and 0 y x. Determine the following: (a) (b) (c) (d) (e) E X (f ) E Y (g) Marginal probability distribution of X (h) Conditional probability distribution of Y given X 1 (i) (j) (k) Conditional probability distribution of X given Y 5 2 5-1

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