Question: A machine requires 20 instances of some part to function. When any one of those 20 parts breaks, the machine stops working. Since they are

A machine requires 20 instances of some part to function. When any one of those 20 parts breaks, the machine stops working. Since they are all identical and are subject to equal strains, each of them breaks independently after a time which is exponentially distributed with Expo(2000) . Calculate the pdf f(t) of the machine stopping to work for t>0 . f(t)=

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