Question 1 (3 points) An operation analyst at the ABC is assigned to the team that is developing the process design. The corporate planning group has contacted her and asked how confident the design group is completing the project in 50 days. She has developed the following estimated time durations in days for the project assuming activity time is normally distributed and independent.

Activity	Immediate Predecessor Activities	Optimistic Time (to)	Most Likely Time (tm)	Pessimistic Time (tp)
A		6	12	18
B	A	9	10	14
C	B	6	12	18
D	B	7	9	14
E	C, D	4	9	12

a. Compute the expected time and variance for each activity. (1 point)

b. Determine the critical path and expected duration of the project. (1 point)

c. What is the probability that the project will complete the project in 50 days? (1 point)