Mathematics, 07.03.2020 01:07, glstephens04
Suppose that the time (in hours) required to repair a machine is an exponentially distributed random variable with parameter =0.6. What is (a) the probability that a repair takes less than 8 hours? (b) the conditional probability that a repair takes at least 7 hours, given that it takes more than 4 hours?
Answers: 2
![P(x\leq 8)\\=\displaystyle\int^8_0(0.6)e^{-0.6x}dx\\\\=\big[e^{-0.6x}\big]^8_0\\\\=-(e^{-0.6(8)}-e^{-0.6(0)})\\=0.9917](/tpl/images/0536/8939/a7dd1.png)
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