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The time in days between breakdowns of a machine is exponentially distributed with mean equal 8 to 8 days. a) What is the probability that

The time in days between breakdowns of a machine is exponentially distributed with mean equal 8

to 8 days.

a) What is the probability that after the machine is repaired it lasts at least two weeks before failing

again?

b) If the machine has performed satisfactorily for 12 days, what is the probability that it lasts at least

three more days before breaking down?

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