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The lifetimes of three different types of computer components follow exponential distributions with parameters 1,2, and 3 (in particular, that means that the average lifetimes for the three types are 1,2, and 3 years) i.e. $$f_1(x_1) = e^{-x_1}, f_2(x_2) = \frac{1}{2}e^{-\frac{x_2}{2}}, f_3(x_3) = \frac{1}{3}e^{-\frac{x_3}{3}} $$ with support sets x_i = 0, i = 1,2,3. One component from each type is randomly sampled and the corresponding lifetimes recorded. Find $$P(X_1 > 5X_2>10X_3)$$

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    You need to enclose subscripts and superscripts that don't consist of a single token in braces to form a group.2012-12-06
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    thanks joriki. I think Fab got to it before me haha so wherever you are thank you Fab.2012-12-06

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