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.

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.

## This question was asked on Mar 18, 2010.

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