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A small project is composed of seven activities as given below:
written 5.1 years ago by gravatar for teamques10 teamques10 ★ 65k •   modified 4.0 years ago
Activity A B C D E F G
Preceding Activity ---- ---- A A, B C, D E C, D
to (days) 2 3 5 4 5 2 3
tm (days) 4 5 7 7 9 4 6
tp (days) 6 7 9 10 14 6 9
Z -3 -2 -1 0 1 2 3
P (%) 0.13 2.28 15.87 50 84.13 97.72 99.87

i) Draw project network

ii) Find expected duration, standard deviation and variance of all activities.

iii) Calculate the project duration corresponding to 75% probability?

iv) What is the probability that the project will be completed 3 weeks earlier than the expected date?
construction management
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written 5.1 years ago by gravatar for teamques10 teamques10 ★ 65k

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Critical path = B – D – G

= B – D – E – F

Project Duration = 25.16

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Expected duration = 25.16

3] Project duration corresponding to 25%

Z %p

0 50

X 75

X = 0.73

1 84.13

Z = $\frac{S.T.E.D}{6}$

0.73 = $\frac{S.T -25.16}{2.26}$

S.T = 26.80

4] Probability that the project will be completed 3 weeks earlier than the expected date

Z = $\frac{S.T – 25.16}{6}$

Z = $\frac{28.16-25.16}{2.26}$

Z = 1.32

Z % P

1 84.13

X = 88.48

1.32 X

2 97.72

88.48% is the probability of the project.
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