Please answer iv until vii only

Table 2: XYZ Project Pessimistic 5 9 Activity B C D E F G H I J 18 12 8 16 8 9 6 10 Most Likely 3 6 12 9 5 9 6 6 Optimistic Predecessor 1 3 6 6 A 2 A 8 E 4 B, E 3 D 2 C G 4 F, H, I 4 7 a) Table 2 indicates three different values for activity duration for XYZ's project. Based on the information in Table 2. answer the following: i. Explain TWO (2) purposes of using Program Evaluation Review Technique (PERT) estimate in project scheduling. [4 Marks) [C01, PO1, C2] ii. How to select the critical path if a project has more than one critical paths ? [2 Marks) [CO1, PO1, C2] iii. Which path is critical path? Explain your answer. [4 Marks] [C01, PO1, C2] iv. Calculate standard deviation for the project. [2 Marks] [C01, PO1, C2) v. What is the probability of completing this project in 27 days? [2 Marks] [C01, PO1, C2] vi. What is the probability of completing this project before 22 days? [2 Marks) [C01, PO1, C2] vii. What is the probability of completing this project between 22 and 30 days? [4 Marks] [C01, PO1, C2]