Four buses carrying $152$ high school students arrive to Montreal. The buses carry, respectively, $32$, $46$, $27$, and $47$ students. One of the studetns is randomly selected. Let $X$ denote the number of students that were on the bus carrying this randomly selected student. One of the $4$ bus drivers is also randomly selected. Let $Y$ denote the number of students on his bus. Compute the expectations and variances of $X$ and $Y$:
$E(X)=$
Var$(X)=$
$E(Y)=$
Var$(Y)=$