Question

7. The time (in hours) required to repair a machine is an exponential distributed random variable with mean β= 2 hours. (b) What is the conditional probability that the repair takes at least 10 hours, given that its duration exceeds 9 hours?

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Answer #1

(7)Given : Mean A-2 The CDF of T is, F(t)-P(Tst)-1-e-t/β-1-e-t/2, (t>0) (a) P(T> 2)-1-F(2)-1-(1-e-2/2)--1 =0.3679 (b)P(T > 10

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