Using the following project information
| Activity | Optimistic Time Estimate(weeks) |
Most Likely Time Estimates (weeks) |
Pessimistic Time Estimates (weeks) |
Immediate Predecessor(s) |
Variance | Expected Time (weeks) |
||||||
| A | 3 | 6 | 9 | none | 1.000 | 6.00 | ||||||
| B | 3 | 5 | 7 | A | 0.444 | 5.00 | ||||||
| C | 4 | 7 | 12 | A | 1.778 | 7.33 | ||||||
| D | 4 | 8 | 10 | B | 1.000 | 7.67 | ||||||
| E | 5 | 10 | 16 | C | 3.361 | 10.17 | ||||||
| F | 3 | 4 | 5 | D,E | 0.111 | 4.00 | ||||||
| G | 3 | 6 | 8 | D,E | 0.694 | 5.83 | ||||||
| H | 5 | 6 | 10 | F | 0.694 | 6.33 | ||||||
| I | 5 | 8 | 11 | G | 1.000 | 8.00 | ||||||
| J | 3 | 3 | 3 | H,I | 0.000 | 3.00 | ||||||
The critical path is A-C-E-G-I-J.
(a) Calculate the probability that the project will be completed in 38 weeks.
P(project ≤ 38) =
(b) Calculate the probability that the project will be completed in 42 weeks.
P(project ≤ 42) =
(Round your answers to 3 decimal places, the tolerance is +/-0.005.)
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