MathProbabilityDiscrete random variables

Expected value of discrete random variable

Multiplicative property

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Given that $X, Y$ are independent discrete random variables, which of the following statements is correct?

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\mathbb{E}[X\cdot Y] > \mathbb{E}[X]\cdot \mathbb{E}[Y]

\mathbb{E}[X\cdot Y] = \mathbb{E}[X]\cdot \mathbb{E}[Y]

\mathbb{E}[X\cdot Y] < \mathbb{E}[X]\cdot \mathbb{E}[Y]

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