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Let X1 and X2 be independent random variables with joint probability density function f(x1; x2). Show that E(X1X2) = E(X1)E(X2) (a) when X1 and X2...

4. Let X1 and X2 be independent random variables with joint probability density function
f(x1; x2). Show that
E(X1X2) = E(X1)E(X2)
(a) when X1 and X2 are discrete random variables.
(b) when X1 and X2 are continuous random variables.

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