Question No 3 A small project is composed of 7 activities whose time estimates are listed in the table belov activities are identified by their beginning (i) and ending (j) node numbers. Activity (i- j) 1-2 Optimistic Time (Weeks) Most Likely Time (Weeks) Pessimistic Time (weeks) 1 1 7 1-3 1 4 7 1-4 2 8. 2- 5 1 1 1 3-5 2 14 4.6

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Question No 3
A small project is composed of 7 activities whose time estimates are listed in the table below.
activities are identified by their beginning (i) and ending (j) node numbers.
Optimistic Time
(Weeks)
Most Likely Time
(Weeks)
Pessimistic Time
Activity
(i- j)
(weeks)
1-2
1
1
7
1-3
1
4
7
1-4
2
2
8
2- 5
1
1
1
3-5
2
5
14
4-6
2
5
8.
5-6
3
6
15
c) Calculate the variance and standard deviation of the project length. What is the probability
that the project will be completed ?
i) at least 4 weeks earlier than expected time.
ii) no more than 4 weeks later than expected time.
Transcribed Image Text:Question No 3 A small project is composed of 7 activities whose time estimates are listed in the table below. activities are identified by their beginning (i) and ending (j) node numbers. Optimistic Time (Weeks) Most Likely Time (Weeks) Pessimistic Time Activity (i- j) (weeks) 1-2 1 1 7 1-3 1 4 7 1-4 2 2 8 2- 5 1 1 1 3-5 2 5 14 4-6 2 5 8. 5-6 3 6 15 c) Calculate the variance and standard deviation of the project length. What is the probability that the project will be completed ? i) at least 4 weeks earlier than expected time. ii) no more than 4 weeks later than expected time.
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