Var (X) = 2, if U=5x+2, then Var (U) is Equal to?

I know its 50. but how to reach the final 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 ...