operations research

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4. An R & D project has a list of tasks to be performed whose time estimates are given in the table
R & D project Time estimates
i - j
1-2 A 4 6 8
1-3 B 2 3 10
1-4 C 6 8 16
2-4 D 1 2 3
3-4 E 6 7 8
3-5 F 6 7 14
4-6 G 3 5 7
4-7 H 4 11 12
5-7 I 2 4 6
6-7 J 2 9 10
a. Draw the network diagram for the R&D project
b. Find the critical path and calculate the project duration
c. Find the probability that the project is completed in 19 days.

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