Question: (Independence!) Suppose that X and Y are two continuous random variables with joint pdf f. Prove that X and Y are independent if and only

(Independence!) Suppose that X and Y are two continuous random variables

(Independence!) Suppose that X and Y are two continuous random variables with joint pdf f. Prove that X and Y are independent if and only if there exist functions 9 and h such that f(:1:, y) : g(:r;)h(y) for all {12,3} E R

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