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 (i) node numbers. Activity (i- j) Optimistic Time (Weeks) Most Likely Time (Weeks) Pessimistic Time (weeks) 7 1-2 1 1 1-3 7 1-4 2 2 8 2- 5 1 1 1 3-5 2 14 4-6 8 5-6 3 15 a) Draw the network diagram of activities in the project. b) Find the expected duration and variance of each activity .What is the expected project length? 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. i1) no more than 4 weeks later than expected time.
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 (i) node numbers. Activity (i- j) Optimistic Time (Weeks) Most Likely Time (Weeks) Pessimistic Time (weeks) 7 1-2 1 1 1-3 7 1-4 2 2 8 2- 5 1 1 1 3-5 2 14 4-6 8 5-6 3 15 a) Draw the network diagram of activities in the project. b) Find the expected duration and variance of each activity .What is the expected project length? 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. i1) no more than 4 weeks later than expected time.
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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 (1) and ending (j) node numbers.
Activity
(i- j)
Optimistic Time
(Weeks)
Most Likely Time
(Weeks)
Pessimistic Time
(weeks)
1-2
1
1
7
1-3
1
4
7
1-4
2
8
2- 5
1
1
1
3-5
2
14
4-6
2
8
5-6
3
15
a) Draw the network diagram of activities in the project.
b ) Find the expected duration and variance of each activity .What is the expected project
length?
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.
i1) no more than 4 weeks later than expected time.
d) If the project due date is 19 weeks, what is the probability of not meeting the due date.
Given:
:
0.05
0.67
1.00
1.33
2.00
Area:
0.3085
0.2514
0.1587
0.0918
0.0228](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7ed1a988-98ca-4994-b937-37ccba2910cd%2F120a00de-3364-4a90-9de7-f80fd2608552%2F05vt7ef_processed.jpeg&w=3840&q=75)
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 (1) and ending (j) node numbers.
Activity
(i- j)
Optimistic Time
(Weeks)
Most Likely Time
(Weeks)
Pessimistic Time
(weeks)
1-2
1
1
7
1-3
1
4
7
1-4
2
8
2- 5
1
1
1
3-5
2
14
4-6
2
8
5-6
3
15
a) Draw the network diagram of activities in the project.
b ) Find the expected duration and variance of each activity .What is the expected project
length?
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.
i1) no more than 4 weeks later than expected time.
d) If the project due date is 19 weeks, what is the probability of not meeting the due date.
Given:
:
0.05
0.67
1.00
1.33
2.00
Area:
0.3085
0.2514
0.1587
0.0918
0.0228
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