Can anyone here tell me how can I do this: X and Y are two random variable and W = 5X-4Y+50. Knowing that the variance of X is 99 and the variance of Y is 81 then what is the variance of W?
2026-04-24 18:56:20.1777056980
what is the variance of this? (random variables)
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Assuming $X$ and $Y$ are independant,
$$V\left(W\right)=V\left(5X-4Y+50\right)=V\left(5X\right)+V\left(-4Y+50\right)=5^2V\left(X\right)+\left(-4\right)^2V\left(Y\right)$$