The expectation of the product of two random variables X and Y, denoted as E(XY), is not necessarily equal to the product of their individual expectations, E(X)E(Y), unless X and Y are independent.

If X and Y are independent, then E(XY) = E(X)E(Y).

If X and Y are not independent, then E(XY) is not necessarily equal to E(X)E(Y). In this case, you would need additional information about the joint distribution of X and Y to compute E(XY).

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The expectation of the product of two random variables X and Y, denoted as E(XY), is not necessarily equal to the product of their individual expectations, E(X)E(Y), unless X and Y are independent.

If X and Y are independent, then E(XY) = E(X)E(Y).

If X and Y are not independent, then E(XY) is not necessarily equal to E(X)E(Y). In this case, you would need additional information about the joint distribution of X and Y to compute E(XY).

Knowee AI · Accepted Answer

The expectation of the product of two random variables X and Y, denoted as E(XY), is not necessarily equal to the product of their individual expectations, E(X)E(Y), unless X and Y are independent.

If X and Y are independent, then E(XY) = E(X)E(Y).

If X and Y are not independent, then E(XY) is not necessarily equal to E(X)E(Y). In this case, you would need additional information about the joint distribution of X and Y to compute E(XY).

Context: Context: if x y are two random variable then e(xy) =

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