Suppose that you have to schedule and coordinate the various activities for an accounting project. The project can be su

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Suppose that you have to schedule and coordinate the various
activities for an accounting project. The project can be subdivided
into the following ten activities.
Activity
Immediate Predecessor
Activity Time (days)
A
–
6
B
–
13
C
A
4
D
A
4
E
A
3
F
C
2
G
C, D
6
H
B, E
10
I
H
J
F, G, I
6
Total = 62
You can see the project network below. After detailed analysis
of the project, you found the expected activity times (in days) for
all ten activities. These numbers are incorporated into the project
network.
Use the given information to answer to the following
questions.
⇒⇒
(a) Fill in the activity nodes.
(b) The critical path is Select an
answer A-B-H-J B-H-J A-D-G-J A-C-G-J A-C-F-J A-E-H-I-J B-H-I-J .
If you get more than one critical path, please select the upper
one. For example, if you have A-C-G-J and B-H-I-J, then you have to
select A-C-G-J.
(c) The expected optimal completion time
is E(t)=E(t)= days.
(d) Based on the results for the questions (a)-(b), answer the
following questions:
(e) The following table shows the calculated expected variance
for each activity.
Activity
Variance
σ2σ2
A
0.6
B
1.62
C
1.8
D
0.31
E
0.5
F
1.41
G
0.63
H
0.37
I
1.64
J
1.82
Based on the result for question (b) and the table above,
calculate the expected standard deviation for the project
completion time. Round the result to 2 decimal
places.
σ(T)=σ(T)= days
(f) Assume that the project completion times are normally
distributed with μ=E(t)μ=E(t) (see question (c))
and σ=σ(T)σ=σ(T) (see question (e)). What is the
probability that the project will be completed in
Note: Do not convert probabilities to
percent.