Using the following project information (Times are estimates in weeks):

Activity Optimistic Time Most Likely Time Pessimistic Time Immediate Predecessor(s) Variance Expected Time

A 3 6 9 none 1.000 6.00

B 3 5 7 A 0.444 5.00

C 4 7 12 A 1.778 7.33

D 4 8 10 B 1.000 7.67

E 5 10 16 C 3.361 10.17

F 3 4 5 D,E 0.111 4.00

G 3 6 8 D,E 0.694 5.83

H 5 6 10 F 0.694 6.33

I 5 8 11 G 1.000 8.00

J 3 3 3 H,I 0.000 3.00

The critical path is A-C-E-G-I-J.

(a) Calculate the probabilitythat the project will be completed in 38 weeks.

(b) Calculate the probability that the project will be completed in 42 weeks.

The properly formatted solution is attached.

(a) Calculate the probability that the project will be completed in 38 weeks.

Expected time to complete the project (A-C-E-G-I-J )=sum of expected times of activities on critical path

=6.00+7.33+10.17+5.83+8.00+3.00

…

Solution describes the steps to calculate the desired probability values in the given case.