Answer is in two decimal places

The Biomed service manager finds that the amount of time a BMET needs to fix a ventilator is uniformly distributed between a = 4.0 and b = 8.5 hours. Let x = the time needed to fix a ventilator. Then X ~ U (4.0, 8.5). 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 0 a k b