37. The data for a small PERT project is as given below, where a represents optimistic time, m most likely time and b pessimistic time estimates (in days) of the activities A, B, ... , J, K.

Precedence relationships: A, B, C can start simultaneously. A

Draw the arrow network of the project. Calculate the earliest and latest expected times to reach each node and find critical path. What is the probability that the project will be completed 2 days later than expected? (MBA, Chennai, 1996)

*242 K 29 9 12 a : 4 3 B 3 2 m 73 : b : 15 54 9 14 0620 C D E F G H 2 5 3 3 1 4 1 12 5 11 6 9 4 19 30 8 12 17 15 27 7 28