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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 6.00B 3 5 7 A 0.444 5.00C 4 7 12 A 1.778 7.33D 4 8 10 B 1.000 7.67E 5 10 16 C 3.361 10.17F 3 4 5 D,E 0.111 4.00G 3 6 8 D,E 0.694 5.83H 5 6 10 F 0.694 6.33I 5 8 11 G 1.000 8.00J 3 3 3 H,I 0.000 3.00The 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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