Question

Var (4x +3) is
a.7
b.16 Var (x)
c.19
d.0
e.16

Answer 1

What is your question?

Answer 2

Answer:

$16\ Var(x)$

Option (b) is correct.

Step-by-step explanation:

Formula :    $Var(ax + b) =$ $a^{2} Var(x)$  

Therefore, $Var(4x+3) = (4)^2\ Var(x)$

                                      =  $16\ Var(x)$

So,Option (b) is correct.

Other Example:

$Var(1 - 2X + 3Y ) = 0 + (-2)^2 Var(X) + (3)^2 Var(Y)$