3. Cypress accounting firm has been hired to perform an audit. The audit has been divided into nine activities. The firm has estimated the optimistic (a), pessimistic (b), and most likely (m) times for each task as shown in the table below.

	Task Times (weeks)
Task	Predecessors	a	m	b
A	None	4	6	10
B	None	2	3	5
C	None	1	2	5
D	A, B	2	3	6
E	A, B, C	4	7	12
F	D, E	1	2	4
G	F	2	4	7
H	F	3	6	10
I	G, H	1	2	4

a. Construct a network diagram for the project.

b. Compute the expected completion time for the project.

c. Compute the probability that the audit will take more than 26 weeks to complete.