Question: 23. Let the joint probability density function of two random variables X and Y satisfy f (x, y) = g(x)h(y), < x < ,

23. Let the joint probability density function of two random variables X and Y satisfy f (x, y) = g(x)h(y), −∞ < x < ∞, −∞ < y < ∞, where g and h are two functions from R to R. Show that X and Y are independent.

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