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The Biomed service manager finds that the amount of time a BMET needs to fix a ventilator is uniformly distributed between a = 3.5 and

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The Biomed service manager finds that the amount of time a BMET needs to fix a ventilator is uniformly distributed between a = 3.5 and b = 7.5 hours. Let x = the time needed to fix a ventilator. Then X ~ U (3.5, 7.5). Find the longest 5th percentile of ventilator repair times, P(x > k) = 0.05. In other words: find the minimum time for the longest 5 percent of repair times. f ( x) Shaded area represents P(x > k); for kth percentile b - a X O a K b

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