In the following table, task durations are given in weeks. The estimates were made at the 95 percent level (see Section 5.2, Calculating Probabilistic LO6 Activity Times subsection).

Activity Predec. Opt. Normal Pess.

a — 24 6 b — 35 9 c a 45 7 d a 4 6 10 e

b, c 4 5 7 f d 34 8 g e 35 8

a. Find the expected time and variance for each task.

b. Draw the network (either AOA or AON) and find the critical path and time.

c. Find the probability that the critical path will be completed in 23 weeks.

d. Find the probability that the other main paths will be completed in 23 weeks.

e. What is the probability that the entire network will be completed in 23 weeks?