Let X and Y be two random variables. The relationship E(XY)=E(X)⋅ E(Y) holds

Question

Let X and Y be two random variables. The relationship E(XY)=E(X)⋅ E(Y) holds (A) always (B) if E(X+Y)=E(X)+E(Y) is true (C) if X and Y are independent (D) if X can be obtained from Y by a linear transformation

Tardigrade Admin · Accepted Answer

We know that the relationship - E(XY)=E(X)⋅ E(Y) holds, when X and Yare independent variables.

Q. Let $X$ and $Y$ be two random variables. The relationship $E (X Y) = E (X) \cdot E (Y)$ holds

always

if $E (X + Y) = E (X) + E (Y)$ is true

if $X$ and $Y$ are independent

if $X$ can be obtained from $Y$ by a linear transformation

We know that the relationship -
$E (X Y) = E (X) \cdot E (Y)$ holds, when X and Yare independent variables.

Q. Let X and Y be two random variables. The relationship E(XY)=E(X)⋅E(Y) holds

always

if E(X+Y)=E(X)+E(Y) is true

if X and Y are independent

if X can be obtained from Y by a linear transformation

We know that the relationship - E(XY)=E(X)⋅E(Y) holds, when X and Yare independent variables.

Q. Let $X$ and $Y$ be two random variables. The relationship $E (X Y) = E (X) \cdot E (Y)$ holds

if $E (X + Y) = E (X) + E (Y)$ is true

if $X$ and $Y$ are independent

if $X$ can be obtained from $Y$ by a linear transformation

We know that the relationship -
$E (X Y) = E (X) \cdot E (Y)$ holds, when X and Yare independent variables.