2018.09.05

$\DeclareMathOperator{\Var}{Var}$

1. Given the probability table below for the random variable W.

   1. Find the expected value of W.
   2. Find the variance of W.
      

Prob	W
1⁄3	6
1⁄2	12
1⁄6	24

1. Prove that the variance is not linear by adding to your example above. That is, $\Var(3 W) \not= 3 \Var(W)$.

2. Guess a formula for $\Var (m W)$.