Consider a project that has been modeled as in the table below. Part a) Draw the PERT/CPM network for this project and determine the project’s expected completion time μP and its critical path. Part b) Suppose the standard deviations of the activity durations are σA = 2, σB = 1, σC = 0, σD = 2, σE = 3, and σF = 0. Then please estimate the standard deviation of the overall project’s standard deviation σP . Part c) Suppose for the standard Normal random variable Z, we know P[−1 ≤ Z ≤ +1] ' 68%, P[−2 ≤ Z ≤ +2] ' 95%, and P[−3 ≤ Z ≤ +3] ' 99.7%. Then, approximately what time T is one for which there is only a less than 2.5% chance for the completion time to beat (be shorter than)? *Please answer a-c and either type your work and answers or write them neatly showing each step, please* NO EXCEL Thank you

Principles of Management
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ISBN:9780998625768
Author:OpenStax
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Chapter2: Managerial Decision-making
Section2.3: Programmed And Nonprogrammed Decisions
Problem 2CC: Give an example of a nonprogrammed decision.
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Consider a project that has been modeled as in the table below.

Part a) Draw the PERT/CPM network for this project and determine the project’s expected completion time μP and its critical path.


Part b) Suppose the standard deviations of the activity durations are σA = 2, σB = 1, σC = 0, σD = 2, σE = 3, and σF = 0. Then please estimate the standard deviation of the overall project’s standard deviation σP .

Part c) Suppose for the standard Normal random variable Z, we know P[−1 ≤ Z ≤ +1] ' 68%, P[−2 ≤ Z ≤ +2] ' 95%, and P[−3 ≤ Z ≤ +3] ' 99.7%. Then, approximately what time T is one for which there is only a less than 2.5% chance for the completion time to beat (be shorter than)?

*Please answer a-c and either type your work and answers or write them neatly showing each step, please* NO EXCEL Thank you!

Table 1: Activities and Predecessors
Activity Immediate Predecessors Duration
A
7
В
A
6
C
A
3
D
B,C
12
E
B,C
14
F
D,E
5
Transcribed Image Text:Table 1: Activities and Predecessors Activity Immediate Predecessors Duration A 7 В A 6 C A 3 D B,C 12 E B,C 14 F D,E 5
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