7. A project has the following activities, with specified precedents and expected durations in hours). a. How many paths are there? b. What is the expected project duration? How much slack does Activity E have? C. Activity Precedent Duration A 6.0 B 7.2 A . 5.0 D B, C 6.0 E B, C 4.5 F D 7.7 G E, F 4.0 8. A project is found to have expected time T = 35.33 days and variance V = 3.22. a. What value of z is needed to find the probability that the project will take at least 40 days? (round final answer to 2 decimals as needed) b. What value of z is needed to find the probability that the project will take at most 40 days? (round final answer to 2 decimals as needed) C. What value of z is needed to find the probability that the project will take at most 30 days? (round final answer to 2 decimals as needed) d. Which of the following is a correct way to calculate P{32 st 38}? i. P{-1.86 Szs 1.49} ii. P{1.86 sz s 1.49} iii. P{z s 1.49) - P{z 2 -1.86} iv. P{z s 1.49} + P{z s 1.86} - 1 v. 1-P{z s 1.49} - P{z s 1.86} vi. None of the above