Question 1

Task	Predecessor Task(s)	Optimistic Time (day)	Most Likely Time (day)	Pessimistic Time (day)
A		4	5	12
B	A	2	3	4
C	B	6	8	22
D	C	4	6	8
E	C	3	4	5
F	E	2	4	6
G	D,F	2	3	4
H	C	5	7	15

a) Draw PERT diagram. Please draw detail with your calculations.

b) Find the critical path and explain.

c) Calculate expected time and standard deviation and variance of each task.

d) What is the project completion day.

- What is the probability of project completion time is 35 days.

- Find the confidence interval for project completion time.

- The upper limit of the project completion time.