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Math  /  Data & Statistics

Question(4) If XX and YY are independent random variables such that Var⁡(X)=Var⁡(Y)=5\operatorname{Var}(X)=\operatorname{Var}(Y)=5, then Var⁡(X−2Y+7)=\operatorname{Var}(X-2 Y+7)=. (5) Consider a normally distributed data with mean

Studdy Solution
Calculate the variance:
Var⁡(X−2Y+7)=5+4×5=5+20=25\operatorname{Var}(X - 2Y + 7) = 5 + 4 \times 5 = 5 + 20 = 25
The variance of X−2Y+7 X - 2Y + 7 is:
25 \boxed{25}

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