PLEASE ANSWER ALL THE QUESTIONS

Question 3 Nice and Shine Sdn. Bhd. is a small company producing high quality of handmade songket. Recently, the company received an order to make 10 handmake songket for an international cultural show. The flows of the activities to produce the songket are given in the table below, together with the time required to complete the activities. Table 1 Immediate Duration (hours) Activity Predecessor Optimistic Most Likely Pessimistic A 2 4 6 B 4 6 8 B 1 4 7 D B 6 8 10 E D 3 5 7 F CE 5 G F 4 6 8 H D 2 4 w lo 1 D 5 10 No cocco J 8 12 K HI G,J K N N 00 2 4 6 L 4 6 a) Calculate the expected time and variance for each activity. (4 marks) b) Draw the network diagram for the given problem. Hence, determine the critical path and the expected completion time. (7 marks) c) What is the latest start time and earliest finish time for activity G? (1 mark) d) What is the probability that the songket could be ready in 40 hours