Give a counter example to the statement E(XY)=E(X)E(Y) impliesthat X and Y are independent.

Question
Random variables

Give a counter example to the statement $$E(XY)=E(X)E(Y)$$ implies
that X and Y are independent.

2021-03-08

Suppose X and Y independent random variables, then
$$E(XY) = E(X)E(Y)$$

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