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Please solve all of them! 1. (6 points '1' The time in days between breakdowns of a machine is exponentially distributed with A = .25.

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Please solve all of them!

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1. (6 points '1' The time in days between breakdowns of a machine is exponentially distributed with A = .25. (a) 1What is the median time between machine breakdowns? (b) 1What is the probability that after the machine is repaired it lasts at least a week before failing again? [c] If the machine has performed satisfactoryr for six days, what is the probability that it lasts at least three more days before breaking down

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