The activity times, in three different estimates (optimistic, most likely, and pessimistic), are as follows.

Activity	Optimistic (a)	Most Likely (m)	Pessimistic (b)
A	3	4	7
B	5	10	12
C	5	7	17
D	4	6	9
E	3	5	13
F	4	6	10
G	3	4	7
H	5	7	8

Use the above information to do your analysis in the next question.

What is the expected time (te) for each activity? Round your calculations to the nearest second decimal point. Show all your work.

What is the critical path, and how long is this project expected to last? Show all your work.

What is the variance of the critical path? Round your calculations to the nearest second decimal point.

Suppose you have a personal goal of completing this project in 31 weeks.

Use the above information to do your analysis in the next question.

What is the probability that you will be able to meet this goal? Round your analysis to the nearest second decimal point. Show all your work.