I. Below is an AOA diagram for a project where the lengths or the activities arc
ID: 2637781 • Letter: I
Question
I. Below is an AOA diagram for a project where the lengths or the activities arc in weeks. Use the diagram to answer the questions below. A. Based on the critical path, what is the expected duration of the project? B. What is the earliest finish (IT) for activity 4-5? 2. Given that the expected duration for a project path was 18.8 days and further suppose that someone calculated the standard deviation for the project path to be 1.2 days. What is the probability that the project takes.... A. Fewer than 19 days?Explanation / Answer
1.
a. the number of path in the project with duration are
1-2-5 = 4+6 =10 days
1-3-4-5 = 9+5+3 =17 days
1-2-4-5 =4+2+3 = 9 days
the maximum number of days of the path implies the critical path of the project. therefore, 1-3-4-5 is the critical path with expected duration of 17 days
Earliest finish time shlall be calulated as
Activity expected duration Earliest start time Earliest Finish time
1-2 4 0 4
1-3 9 0 9
2-4 2 4 6
2-5 6 4 10
3-4 5 9 14
4-5 3 14 17
In the above calculation we can get the earlist finish time of activity 4-5 is 17 days
2.
probabilty that takes fewer 19 days shall be
Z= X- X1 / standard deviation
= ( 19- 18.8) /1.2
= 0.16