9. There are three (and only three) paths through a network (project), each with a probability of completion in less than 24 months as indicated: • S- a-b-F P1(<24) = .80 • S- d-e-F P2(<24) = .80 • S- g-h-F P3(<24) = .80 a. If the tasks are independent, what is the probability of the project being completed within 24 months? Note: S is the start node, F is the finish node b. What is the probability of the project being completed in 24 months or longer?
Answer:
= 1 - (0.2*0.2*0.2) = 1 - 0.008 = 0.992
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= 0.2*0.2*0.2 = 0.008
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