1. (6 points) The time in days between breakdowns of a machine is exponentially distributed with = 0.25. (a) What is the
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1. (6 points) The time in days between breakdowns of a machine is exponentially distributed with = 0.25. (a) What is the
1. (6 points) The time in days between breakdowns of a machine is exponentially distributed with = 0.25. (a) What is the median time between machine breakdowns? (b) What is the probability that after the machine is repaired it lasts at least a week before failing again? (c) If the machine has performed satisfactorily for six days, what is the probability that it lasts at least three more days before breaking down?
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