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Following is the data of the associated with PERT Project.
written 5.1 years ago by gravatar for teamques10 teamques10 ★ 64k •   modified 4.0 years ago
Activity A B C D E F G
Preceding activity -- -- A B A B C & D
to (days) 6 5 4 4 4 2 4
tm (days) 9 8 7 7 7 5 10
tp (days) 12 17 22 16 10 8 22
Z -3 -2 -1 0 1 2 3
P (%) 0.13 2.28 15.87 50 84.13 97.72 99.87

i) Determine the variance of the project.

ii) What is the probability of completing the project in 29 days?

iii) What is the scheduled duration with 90% probability?
construction management
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written 5.0 years ago by gravatar for teamques10 teamques10 ★ 64k •   modified 5.0 years ago

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Critical path = A – C – G

= 1 – 2 – 4 – 5

1] variance = 6 = 7 (for critical path)

2] probability of completing the project in 29 days

$Z = \frac{S.T – PD}{E}$

$Z = \frac{29 – 29}{\sqrt{6^2}} = \frac{0}{4.36}$

$Z = 0$

50% is the probability of completing the project in 29 days.

3]

1 84.13

X 90 $\quad$ X = 1.43

Z 97.72

$Z = \frac{S.T – P.D}{E}$

$1.43 = \frac{S.T – 29}{4.36}$

$S.T = 35.23 day$

It will take 35.23 days to complete 90% work.
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