(Solved): Given below is a bivariate distribution for the random variables  and . Given below i ...

Given below is a bivariate distribution for the random variables \( x \) and \( y \). a. Compute the expected value and the variance for \( x \) and \( y \). \[ \begin{array}{l} E(x)= \\ E(y)= \\ \operatorname{Var}(x)= \\ \operatorname{Var}(y)= \end{array} \] b. Develop a probability distribution for \( x+y \) (to 2 decimals). \( \begin{array}{cl}x+y & f(x+y) \\ 180 \\ 60 \\ 110\end{array} \) c. Using the result of part (b), compute \( E(x+y) \) and \( \operatorname{Var}(x+y) \). \[ \begin{array}{l} E(x+y)= \\ \operatorname{Var}(x+y)= \end{array} \]