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) = .95
• S- d-e-F P2(<24) = .85
• S- g-h-F P3(<24) = .90
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 the project being completed in 24 months or longer?