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1. question 2.question Previous Problem List Next Previous Problem List Next (4 points) Suppose that the time in hours) required to repair a machine is an exponentially distributed random variable with parameter i = 0.4. What is (a) the probability that a repair takes less than 10 hours? (b) the conditional probability that a repair takes at least 8 hours, given that it takes more than 5 hours? (5 points) Suppose that the life distribution of an item has hazard rate function 1(t) = 4.2.2, 1 > 0. What is the probability that (a) the item survives to age 32 (b) the item's lifetime is between 0.5 and 312 (c) a 0.5-year-old item will survive to age 32