Please answer all questions.

Question 1. Given the optimistic estimate (to), most likely estimate (tm) and pessimistic estimate (to) as shown in Table 1, based on the positively skewed beta probability distribution in PERT (Project Evaluation & Review Technique) Table 1: Time Chart Activity Optimistic Most Likely Pessimistic EXPECTED Standard Variance time tm time to TIME (te) Deviation (0e)? time to e P 3 6 9 6 9 24 Q R 15 27 45 S 2 5 14 T 17 29 47 U 5 8 17 V 4 10 28 w 5 8 11 (a) (b) Calculate: i. Expected activity duration. ii. Standard deviation (Ce) of the expected duration. iii. Variance (Ce)2 of the expected duration. Assuming that the critical Path is P-Q-T-W = 55 days i. What is the probability the project will be completed before the scheduled time (T) of 49 days (nearest estimated number)? ii. What is the probability the project will be completed before the scheduled time (T) of 59 days (nearest estimated number)? Describe two (2) main differences between "Critical Path Method" and "PERT - Program Evaluation Review Technique c)