If marks given by the second judge follow $Y = 10.5 + 2X$ and variance of $Y$ is $100$, find the variance of $X$.

✅ Correct Answer: 25

Explanation

Given $Y = 10.5 + 2X$ Variance formula $Var(Y) = b^2 Var(X)$ $100 = 4 Var(X)$ $Var(X) = 25$

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If marks given by the second judge follow $Y = 10.5 + 2X$ and variance of $Y$ is $100$, find the variance of $X$. | ACME Academy