The following table of probabilistic time estimates (in weeks)
and activity predecessors are provided for a project.
Time Estimates (weeks) |
Activity |
a |
m |
b |
Activity Predecessor |
A |
3 |
5 |
7 |
-- |
B |
4 |
8 |
10 |
A |
C |
2 |
3 |
5 |
A |
D |
6 |
9 |
12 |
B, C |
E |
5 |
9 |
15 |
D |
Table 9.2
Reference: Ref 9-2
Using Table 9.2, the variance for activity E is
Select one:
A. 2.582.
B. 1.667.
C. 1.291.
D. 2.778.
D. 2.778
Variance = (Standard Deviation)2
standatd Deviation = (Pessimistic - Optimistic)/6
= (10-5)/6
= 1.67
Variance = (1.67)2
= 2.778 Approximately
The following table of probabilistic time estimates (in weeks) and activity predecessors are provided for a...
The following table of probabilistic time estimates (in weeks) and activity predecessors are provided for a project. Time Estimates (weeks) Activity a m b Activity Predecessor A 3 5 7 -- B 4 8 10 A C 2 3 5 A D 6 9 12 B, C E 5 9 15 D Table 9.2 Reference: Ref 9-2 Using Table 9.2, the earliest start (ES) time for activity D is Select one: A. 21.67 weeks. B. 8.17 weeks. C. 12.67 weeks....
The following table shows estimates of activity times (weeks) for a project: Activity Optimistic Time Most Probable Time Pessimistic Time A 3 4.5 9 B 1.5 2 2.5 C 5 6 7 D 4 4.5 8 E 5 6 7 F 1 2.5 7 G 7 9 11 Suppose that the critical path is A-B-D-F-G. Use Appendix A to answer the questions. Do not round intermediate calculations. Round your answers to three decimal places. What is the probability that the...
Using Table 2.13 below, if the expected time for activity E is changed to nine weeks, by how many weeks will the project's expected completion time increase? Table 2.13 (All activity times for the project are in weeks.) Activity Optimistic Time Most Likely Time Pessimistic Time Immediate Predecessors(s) A 3 4 5 --- B 5 7 9 --- C 2 3 10 A D 2 5 8 B E 1 7 7 B F 3 5 7 CD G 7...
A network consists of the following list. Times are given in weeks. Activity Preceding Time (weeks) Activity Predecessor Duration A 4 B 9 C A 5 D B A 3 E D C 4 Calculate the ES, EF, LS, LF, slack for each activity. List the critical activities for this project.
Please provide detailed solutions to the following problem. The estimated times and immediate predecessors for the activities in a project at Paccar Winch are given in the following table. Assume that the activity times are independent. Activity Immediate Predecessor Time (Weeks) a m b A - 9 10 11 B - 4 10 16 C A 9 10 11 D B 5 8 11 a) Calculate the expected time and variance for each activity. b) What is the expected completion...
A project consists of the following four activities with activity times in days: Activity Predecessor Time A 6 B A 5 C A 4 D B,C 8 Table 9.3 Reference: Ref 9-3 Using Table 9.3, the critical path for this project is Select one: A. A-B-C-D. B. A-B-D. C. A-B-C. D. A-C-D.
Using the following information about Project A, its activities and predecessor activities below: Activity Predecessors A в B C D E, F D G The following table contains the pessimistic, likely, and optimistic estimates for how long activities are estimated to take for Project A. Activity Pessimistic Likely Optimistic 2 5 20 H 16 e. Calculate the time estimates (TE) f. Calculate the variance (s) g. Convert the TE to whole integers and place them in the network diagram for...
Suppose that the following estimates of activity times (in weeks) were provided for the network shown below: Activity Optimistic Most Probable Pessimistic A 4 6 8 B 2.5 4.5 5.5 C 5 6.5 8 D 4 5.5 8 E 6.5 7.5 9 F 2 3.5 5 G 7 9 12 H 5 6 13 What is the probability that the project will be completed. If required, round your answers to four decimal places. Within 20 weeks? Within 22.5 weeks? Within...
1- Consider the table shown below: Task Predecessor Time (weeks) Expected time Variance of time Optimistic Most likely Pessimistic A - 1 3 5 B A 2 6 10 C B 4 7 10 D B, C 1 2 9 E D 2 4 6 F D,E 4 7 10 G F 1 3 5 a) Calculate expected time and variance for each task. b) Find the critical path and expected project competition time? c) What is the probability of...
A partially solved PERT problem is detailed in the table below. Times are given in weeks. Activity Preceding Optimistic Time Probable Time Pessimistic Time Expected Time Variance A -- 7 9 14 1.361 B A 2 2 8 0 C A 8 12 16 0 D A 3 5 10 1.361 E B 4 6 8 0 F B 6 8 10 0 G C, F 2 3 4 0 H D 2 2 8 1.000 I H 6 8...