# Covariance of a discrete distribution

Probability Level 3

Let $X$ and $Y$ be random variables such that

• $P(X = 0, Y = -1) = 1/5$
• $P(X = 0, Y = 1) = 1/5$
• $P(X = 1, Y = -1) = 1/2$
• $P(X = 1, Y = 1) = 1/10$.

Find $\text{Cov}(X, Y)$.

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