1. 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

      Yes No

      B

      Yes No

      C

      Yes No

      D

      Yes No

      E

      Yes No

      F

      Yes No

      G

      Yes No

      H

      Yes No

      I

      Yes No

      Critical Path:
      • A-C-F-H-I
      • A-D-H-I
      • A-D-G-I
      • B-C-F-H-I
      • B-D-H-I
      • B-D-G-I
      • B-E-I
   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.