Determine the value of c such that the function f(x, y)

Chapter 5, Problem 5-79

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Determine the value of c such that the function f(x, y) cx2 y for 0 x 3 and 0 y 2 satisfies the properties of a joint probability density function. Determine the following: (a) (b) (c) (d) (e) (f ) (g) Marginal probability distribution of the random variable X (h) Conditional probability distribution of Y given that X 1 (i) Conditional probability distribution of X given that Y 1 5-

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