A small project is composed of seven activities as given below:

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written 6.7 years ago by

teamques10 ★ 70k

• modified 5.6 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?

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1 Answer

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written 6.7 years ago by

teamques10 ★ 70k

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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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