Using Program Evaluation Review Technique identify the critical activities and prepare a report determining the earliest and latest activity times, activity slack, critical path, duration for the project and the probability of completing the project.

Given the following details of the activities in a project with the time estimated in days, using PERT answer the following questions:

Activity	Precedence Activities	Optimistic	Most Probable	Pessimistic
A	---	2	5	6
B	---	1	3	7
C	---	6	8	10
D	A	5	10	14
E	A	3	4	5
F	A, B	8	9	12
G	C	4	6	8
H	C	2	7	9
I	E, F, G	5	7	12
J	H	12	13	14
K	D, J	2	3	4

1. Draw the network of the project. What are the critical path activities?
2. What is the expected time to complete the project?
3. What is the probability the project will take more than 32 days to complete?