You are managing a project. The tasks and time estimates for the optimistic, most likely, and pessimistic times are presented in the table below:

Activity	Immediate Predecessors	Optimistic	Most Likely	Pessimistic
A	--	3	5	7
B	A	4	6	8
C	A	6	10	14
D	A	2	5	7
E	B	2	4	5
F	C	2	3	5
G	D	5	7	9
H	F	2	2	2
I	E,F	2	5	7
J	H,G	3	5	11
K	I,J	2	3	4

And here is a rough diagram of what the network looks like: (If there is a discrepancy between the "Immediate Predecessor" data in the table and this diagram, use the network diagram.)

Please read the following about your calculations:

• The time you will use in determining the critical path is the expected time (see pg 239.)
• Round to 1 decimal place for your calculations of the expected time, variance, and standard deviation. This is an exception to what you usually do. When you get to computing the various times in the network, you will use only one decimal place.
• Round to 2 decimal places when you compute your z-scores. This is what you will need for the table in Appendix B on page 566.
• Round to 4 decimal places when computing any probabilities. Again this matches the table in Appendix B.
• Remember you can highlight, cut, and paste the data directly into Excel for ease of computation and to reduce transcription errors.

1. What is the variance on the critical path?

Format with 1 decimal place.

2. You will be given a bonus if you can get this project done in 30 weeks. What is the probability that you can achieve this?

Format as a probability with two decimal places. Remember if your calculations show 0.5678, you will enter 56.78 and you know that means 56.78%

3. Upload a Gantt chart of this project. Use the expected time for the duration and the Early Start time for the Start Time