Q1: Ace Heating and Air Conditioning Service nd that the amount of time a repairman needs to x a furnace is uniformly distributed between 1.5 and four hours. Let x = the time needed to fix a furnace. X~ ........... ( .......... , ........... ). a)Write x) and draw the probability function. b) Find the probability that a randomly selected furnace repair requires more than two hours. c)Find the probability that a randomly selected furnace repair requires less than three hours. d) Find the 30th percentile of furnace repair times. e)The longest 25% of furnace repair times take at least how long? ( In other words: find the minimum time for the longest 25% of repair times.) What percentile does t f)Find the mean and standard deviation