The lifetimes of brakes manufactured by company a are

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The lifetimes of brakes manufactured by company A are random with density function g(x)=\begin{cases} \frac{1}{8}e^{-x/8} & x>0\\ 0 & x\le 0. \end{cases} The lifetimes of brakes manufactured by company B are random with density function h(y)=\begin{cases} \frac{1}{11}e^{-y/11} & y>0\\ 0 & y\le 0. \end{cases} A man installs brakes on his two cars simultaneously, one from company A and the other from company B. What is the probability that brakes from company B last longer than those from company A?

Reference no: EM13617459

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