Answer:
Var(U)=50
Step-by-step explanation:
Given
Var(X) = 2
We have to find
Var(U) when U = 5x+2
So,
When a variable is multiplied with an integer, the variance of that variable is multiplied with the square of that number i.e. Var(aX) = a^2 Var(X) This the property of variance.
As here x is multiplied with 5,
Var(5x) = 5^2 var(X) = 25*2 = 50
If the same integer is added to all the data values, there is no change in variance that is why the +2 will not affect the variance of U ..
