Marcy Fetter, a staff analyst at the Los Angeles plant of Computer Products Corporation, is assigned to the team that is developing the process design for producing an RFID sensor. The corporate planning group in San Jose, California has contacted her and has asked how confident the design group is about completing the project in 60 days. She has developed these estimated time durations in days for the project: Activity Immediate Predecessor Activities Optimistic Time Most Likely Time Pessimistic Time
A - 10 12 15
B A 6 10 14
C A 10 15 20
D A 9 9 18
E B 5 6 8
F C, E 10 12 13
G B 12 14 16
H B, D 18 21 24
I B, D 10 15 20
J F, G,H 8 10 14

Required:
a. Determine the expected duration of the project.
b. What is the critical path?
c. Using the path determined above, what is the probability that the project will take longer than 56 days to complete?