If X and Y are independent random variables with variances $\sigma_X^2 = 8$ and $\sigma_Y^2 = 3$, find the variance of the random variable Z = -4X + 2Y - 3. \newline (Simplify your answer.)
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Step 1: The variance of a linear combination of independent random variables is equal to the sum of the variances of each term, multiplied by the square of its coefficient. Show more…
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