Question

Two components of minicomputer have the following joint pdf for their useful lifetime X and Y: f(x, y)=\left\{\begin{array}{ll} \frac{1}{4} e^{-(x+y) / 2} & x>0, y>0 \\ 0 & \text { elsewhere } \end{array}\right. What is the probability that both of the lifetimes of the components are less than 2? Round your final answer to two decimal places.

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