Ace Heating and Air Conditioning Service finds that the amount of time a repairman needs to fix a furnace is uniformly distributed between 0.5 and 8.5 hours. Let x = the time needed to fix a furnace. 1) Find the value of a= 2) Find the value of b= 3) Find the vlaue of h = 4) Find the mean time to fix the furnance = up to 2 d.p. 5) Find the standard deviation time to fix the furnance = up to 2 d.p. 6) Find the probability that a repairman take more than 4 hours : P( x z 4) : 7) Find the probability that a repairman take time between 3hours to 6 hours P( 3 s x s 6) = 8) Find the probability that a repairman take time less than 6 hours P( x $ 6) = %