The rate of return on the common stock of Snider Oil is expected to be $14$ percent in a boom economy, $8$ percent in a normal economy, and only $2$ percent in a recessionary economy. The probabilities of these economic states are $20$ percent for a boom, $70$ percent for a normal economy, and $10$ percent for a recession. What is the variance of the returns?A$)\mathrm{.}001044$B$)\mathrm{.}001280$C$)\mathrm{.}001863$D$)\mathrm{.}002001$E$)\mathrm{.}002471$