Activity 1 2 3 4 5 6 7 | Pessimistic Predecessor (b) None 24 None 28 None 10 1 36 1 47 4 10 3 19 8 2,5,6,7 18 a) Find the expected time and variance for each activity (2pt). Optimistic (a) 6 16 4 24 17 4 13 6 Most likely (m) 12 19 7 27 29 7 16 12 te 13 20 7 28 30 7 16 12 Variance (07) 9 4 1 4 25 1 1 4 b) What is the estimated expected (mean) time for project completion? Show all the steps that you use to solve this problem in the space provided (2pt). c) Find the probability that the project will be completed on or before 65 days. Round off decimal numbers to the nearest hundredths. Show all the steps that you use to solve this problem in the space provided (No Excel) (2pt). d) Find the number of days required to assure a 95 percent of chance of completion. Round off decimal numbers to the nearest hundredths. Show all the steps that you use to solve this problem in the space provided (No Excel) (2pt). e) Find the probability that the project will be at least 3 days late? Show all the steps that you use to solve this problem in the space provided (No Excel) (2pt).

a) Find the expected time and variance for each activity (zpt). b) What is the estimated expected (mean) time for project completion? Show all the steps that you use to solve this problem in the space provided (2pt). c) Find the probability that the project will be completed on or before 65 days. Round off decimal numbers to the nearest hundredths. Show all the steps that you use to solve this problem in the space provided (No Excel) (2pt). d) Find the number of days required to assure a 95 percent of chance of completion. Round off decimal numbers to the nearest hundredths. Show all the steps that you use to solve this problem in the space provided (No Excel) (2pt). e) Find the probability that the project will be at least 3 days late? Show all the steps that you use to solve this problem in the space provided (No Excel) (2pt)