PLEASE SHOW ALL STEPS. SHOW ALL WORK AND EXPLAIN YOUR ANSWER. PLEASE DO EVERY STEP. WRITE WITH BLACK PEN AND PAPER ONLY - NO TYPING. PLEASE WRITE VERY NEATLY - NO CURSIVE AT ALL. FOLLOW ALL INSTRUCTIONS

McGee Carpet and Trim installs carpet in commercial offices. Andrea McGee has been very concerned with the amount of time it took to complete several recent jobs. Some of his workers are very unreliable. A list of activities and their optimistic completion time, the most likely completion time, and the pessimistic completion time (all in days) for a new contract are given in the following table. Time (days) Time (days) Activity a mb Immediate Predecessor(s) Activity a m b Immediate Predecessor(s) A 2 6 9 G 2 3 4 A, E B 10 11 12 H 4 6 8 F c 2 3 4 | 10 11 12 G D 6 7 8 C J 13 15 17 E 3 5 7 B, D K 4 8 12 HI 7 11 13 A, E m | (a) Draw a precedence diagram using AON. (b) What is the critical path? What is the expected project completion time? (c) What is the non-critical activity with highest slack? (d) Referring to the standard normal table, what is the probability of the project taking between 35 and 45 days to be completed? (Note: Round your answers to two decimal digits, except part (d) where you need to keep four decimal digits for probabilities