medium Probability
A release-checked medium problem for training Covariance, Discrete Random Variables.
Suppose that you roll a standard fair 6-sided die $n$ times. Let $X$ be the random variable representing the number of times you roll a $1$ and $Y$ be the random variable representing the number of times you roll a $5$. Calculate $\text{Corr}(X,Y)$.
This Probability problem is tagged Covariance, Discrete Random Variables. State the random variables and conditioning information explicitly, then check the result against boundary cases before opening hints or a solution.
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