Question: Problem 3 (10 Points): A project consists of five activities. Naturally, the paint mixing precedes the painting activities. In addition, both ceiling painting and floor

Problem 3 (10 Points): A project consists of five
Problem 3 (10 Points): A project consists of five activities. Naturally, the paint mixing precedes the painting activities. In addition, both ceiling painting and floor sanding must be done prior to floor buffing. Activity Floor sanding (A) Floor buffing (B) Paint mixing (C) Wall painting (D) Ceiling painting (E) Optimistic Time (hr) 3 1 05 1 1 Most Probable Time (hr) 4 2 1 2 5.5 Pessimistic Time (hr) 5 3 1.5 9 7 a. Construct the PERT/CPM network for this problem, and solve it. (6 points) (Show all the details of your answers/computations. If you do not show the details, you will not get the points.) b. What is the expected completion time of this project? (1 point) c. What is the probability that the project can be completed within 9 hr.? (3 points) (Show all the details of your answers/computations. If you do not show the details, you will not get the points.)

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