Problem 9-12 (Algorithmic)

Assume that the activity time estimates (in days) for the swimming pool construction project are as follows:

Activity		Optimistic		Most Probable		Pessimistic
A		5		6		7
B		4		8		15
C		3		4		8
D		2		2		2
E		1		5		9
F		2		5		8
G		2		6		17
H		3		7		8
I		1		8		9

1. What are the critical activities? If necessary, round your answers to two decimal places. If your answer is zero, enter 0.

   Activity		Expected Time		Variance
   A
   B
   C
   D
   E
   F
   G
   H
   I

   Earliest

   Latest

   Earliest

   Latest

   Critical

   Activity

   Start

   Start

   Finish

   Finish

   Slack

   Activity

   A

   B

   C

   D

   E

   F

   G

   H

   I

   Critical Path:
2. What is the expected time to complete the project? If necessary, round your answer to two decimal places. E(_T) = days
3. Based only on critical path, what is the estimated probability that the project can be completed in 25 or fewer days? Variance = . If necessary, round your answers to two decimal places. Using the normal distribution, z = . If necessary, round your answers to two decimal places. If negative answer is required, enter the minus sign before the number. Probability of 25 days or less is . If necessary, round your answers to four decimal places. Note: Use Appendix B to identify the probability.