Following is the data associated with a small Project

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written 6.8 years ago by

teamques10 ★ 70k

• modified 5.7 years ago

Activity	1-2	1-3	1-4	2-5	3-5	4-6	5-6
To(weekss)	1	1	2	1	2	2	3
Tm(weeks)	1	4	2	1	5	5	6
Tp(weeks)	7	7	8	1	14	8	15

Z	-3	-2	-1	0	1	2	3
P(%)	0.13	2.28	15.87	50	84.13	97.72	99.87

Determine standard Deviation & Variance of the Project. Also determine the Probability of completing the project at :-
i) Expected duration ii) 3 weeks earlier than expected duraiton
iii) 3 weeks later than expected duration.

construction management

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1 Answer

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written 6.8 years ago by

teamques10 ★ 70k

• modified 6.8 years ago

enter image description here

1) Expected duration is 17 days.

2) 3 weeks earlier than E D

enter image description here

Variance = $\sqrt{6^2} = 2$

Z = $\frac{S.T – E D}{Variance}$

Z = $\frac{14-17}{3}$

= - 1

Z = 15.87

So the probability of completing the project three weeks earlier than E D is 15.87 %

3) 3 weeks later than E. D

Z = $\frac{S.T – E.D}{6}$

Z = $\frac{20-17}{3}$

= 1

Z = 84.13

So the probability of completing the project 3 weeks earlier than E D is 84.13

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