Consider a project that has been modeled as in the table below:  a. Draw the PERT/CPM network for this project and determine the project’s expected completion time μP and its critical path. 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 . 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 solve a-c and neatly write or type your answers, showing your steps, NO EXCEL*

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Consider a project that has been modeled as in the table below: 

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


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 .


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 solve a-c and neatly write or type your answers, showing your steps, NO EXCEL* 

 

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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