Question 145
If the standard deviation of a variable x is 12 then the variance of the variable 2x + 17 is
Solution
Let say
Y = 2X + 17
Taking variance of both sides:
V(Y) = V(2X) + V(17)
V(Y) = 2 V(X) + 0
V(Y) = 2 * 12
V(Y) = 24 Answer
V(aX) = a^2 * V(X) .. where a is a constant
V(a) = 0 .. where a is a constant
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