Question: A project network is given with the starting point on the left and the ending finish point on the right with activities A through H.
A project network is given with the starting point on the left and the ending finish point on the right with activities A through H. The arcs between the activities are listed as follows.
- Start to A and B
- A to C and D
- B to E
- C to H
- D to F and G
- E to F and G
- F to H
- G to Finish
- H to Finish
Suppose that the following estimates of activity times (in weeks) were provided for the network shown above.
| Activity | Optimistic | Most Probable | Pessimistic |
|---|---|---|---|
| A | 4.0 | 5.0 | 6.0 |
| B | 2.5 | 3.0 | 3.5 |
| C | 6.0 | 7.0 | 8.0 |
| D | 5.0 | 5.5 | 9.0 |
| E | 5.0 | 7.0 | 9.0 |
| F | 2.0 | 3.0 | 4.0 |
| G | 8.0 | 10.0 | 12.0 |
| H | 6.0 | 7.0 | 14.0 |
What is the probability that the project will be completed within the following time frames? (Round your answers to four decimal places. You may need to use the appropriate technology to answer this question.)
(a)
Within 20 weeks?
(b)
Within 22 weeks?
(c)
Within 23 weeks?
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