The table below shows three time estimate of construction project

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written 6.8 years ago by

teamques10 ★ 70k

• modified 5.7 years ago

Activity	t$_{o}$	t$_{m}$	t$_{p}$
A (10-20)	3	4	5
B (10-30)	6	8	10
C (20-40)	2	5	8
D (40-60)	9	10	11
E (40-70)	4	8	12
F (30-70)	7	9	11
G (30-50)	12	14	16
H (60-80)	3	6	9
K (70-80)	6	7	8
L (50-80)	3	6	9

Z	-3	-2	-1	0	1	2	3
P (%)	0.001	0.023	0.159	0.5	0.841	0.977	0.999

a) Draw PERT network.

b) Determine the expected project completion time.

c) What is the probability that work can be completed in 25 days?

d) If probability is 90%, what will be the project duration?

construction management

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1 Answer

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written 6.8 years ago by

teamques10 ★ 70k

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b) Expected project Completion time is 28 days

c) $ z=\frac{ S.T-E.D}{\epsilon}$

$z=\frac{25-28}{\sqrt{\sigma^{2}}}$

$z=\frac{25-28}{1 \cdot 37}$

$z=-2\cdot 18$

x=0.019=19%

x=1.45

$ z=\frac{ S.T-E.D}{\epsilon}$

$1.45=\frac{S \cdot T-28}{1 \cdot 37}$

$S \cdot T=29 \cdot 98$ days

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