i) Find the probability that a randomly selected furnace repair requires more than 2 hours. ii) Find the probability that a randomly selected furnace repair requires less than 3 hours. iii) Find the mean and standard deviation.

i) Probability that a randomly selected furnace repair require more than 2 hours

Let x be random variable that denotes the amount of time a repairman needs to fix a furnace. When X is uniformly distributed between (1.5, 4 ) (a, b)

So, required probablity is - $1 - P(0 …