Consider the random variables $Y_1$ and $Y_2$ with joint probability density function
$f(y_1, y_2) = \begin{cases} 4y_1y_2 & 0 \leq y_1 \leq 1, 0 \leq y_2 \leq 1, \\ 0 & \text{elsewhere} \end{cases}$
(a) Use R to calculate E($Y_1$). (Round your answer to four decimal places.)
E($Y_1$) =
(b) Use R to calculate V($Y_1$). (Round your answer to four decimal places.)
V($Y_1$) =
(c) Calculate E($Y_1 - Y_2$)
E($Y_1 - Y_2$) =