1. There are three (and only three) paths through a network (project),

1. There are three (and only three) paths through a network (project),

1. There are three (and only three) paths through a network (project), each with a probability of completion in less than 24 months as indicated: a. S-a-b-F P1(<24) = .95 b. S- d-e-F P2(<24) = .85 c. S- g-h-F P3(<24) = .90 If the tasks are independent, what is the probability of the network being completed within 24 months? Note: S is the start node, F is the finish node. 2. You have been assigned to estimate the cost of installing fiber optic cable in a country. Fortunately, you have done a number of similar projects in this area in the past and you have accumulated the following parametric cost estimates based on this experience:Mobilization/demobilization Cost = \$10,000Buried cable construction:Cost per kilometer = \$10,000Sand Cost per kilometer = \$17,500Sand & Clay Cost per 100 meters = \$ 5,500Rock Overhead cable installation:Cost per kilometer = \$ 7,500Cost per Road Crossing = \$12,500Cost per pipeline Crossing = \$ 5,000The scope of the new project is as follows:Predominately sand 150 kmPredominately sand & clay 100 kmRock 500 meters overhead XXXXXcrossings 3 pipeline crossings 5Estimate the cost of construction for this project.Assume the estimates are fully loaded, ie they include labor, materials, applicable indirect costs such as overhead, etc. Must show your work.