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 $\rho_{Y_1, Y_2}$
easy Probability
A release-checked easy problem for training Covariance.
$X_1$ 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 $\rho_{Y_1, Y_2}$
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.
Probability · Akuna
Probability
Probability
Probability · SIG, DE Shaw
Probability · SIG, Jane Street
Probability · Jane Street