- #1

pinky14

- 5

- 0

$f(x,y) = \left\{

\begin{array}{ll}

\frac{1}{50} & \quad x \geq 0, y \geq 0, x+y \leq 10 \\

0 & \quad Otherwise

\end{array}

\right.$

The machine operates until both components fail.

(a) Calculate the expected operational time of the machine. Hint: This is E(X + Y).

(b) Calculate the variance of the operational time of the machine.$$$$