From previous data, a construction firm estimates that the time taken to complete a new house follows a normal distribution with a mean of 16 days and a standard deviation of 12 days A. Find the probability that a house takes less than 15 days to complete B. The firm wishes to guarantee its current client that the house they have ordered will be completed in less than 19 days. What's the probability that the house will not be completed in time? C. The firm has just started building 100 houses as a job lot. How many houses do you estimate will be completed on day 17(ie with a completion time of more than 16 days but less than 17)? D. What assumptions have you made in C.? Is it likely to be true here? Explain your