1. Data for a simplified PERT network are given below: i 5 5 10 10 15 15 20 25 30 30 35 40 10 j 10 15 20 25 25 30 35 35 35 40 45 45 ACT A B C E dl 20 F G L d2 M N P 30 Time Estimates (days) a 7 2 5 8 0 M 7 4 3 0 4 3 5 m 10 5 7 10 0 10 6 5 0 7 6 6 35 40 b 16 N P 6 11 11 11 7 11 0 9 11 7 45 a. After calculating the mean and standard deviation for each activity duration, calculate Early Event Times (TE) and Late Event Times (TL) for all nodes. b. Determine the PERT "critical path(s)" and the mean and standard deviation for the project duration. Determine the probability of completing the project in 31 days or less. d. Determine the probability of completing the project in 33 days or more. e. Determine the probability of reaching event/node 35 in 24 days or less.