easy   Probability

Covariance Review IV

A release-checked easy problem for training Covariance.

Question

$X_1$ and $X_2$ have a correlation coefficient $\rho_{X_1, X_2} = 0.2$. $Y_1 = 1 + 2X_1$, and $Y_2 = 3 - 4X_2$. Compute the correlation coefficient for $Y_1$ and $Y_2$ which is $\rho_{Y_1, Y_2}$

Practice focus

This Probability problem is tagged Covariance. 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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