Angelina received new word processing software for her birthday. She also received a cheque with which she intends to purchase a new computer. Angelina's UNILUS Professor assigned a paper due in two weeks. Angelina decided that she will prepare the paper on the new computer. She made a list of the activities and the pessimistic, optimistic and most likely times in hours for each as shown in Table 2 below. Table 2: Paper Writing and Computer Purchase Activities Table Activity ID Description Duration (hours) a m Ch Choose a topic 0.5 1 2 Sh Shop for a new computer 1.5 2 2.5 Lib Library research on chosen topic m 4 5 Out Outline the paper 0.4 0.5 1 Wri Write paper using software 3 5 6 Chk Check grammar and make corrections 0.5 1 1.5 Sub Submit paper to Professor 0.5 0.5 0.5 Set Select/Purchase computer and software 1.5 2 3 Ins Install word processing software 1 1.5 2 (a) Arrange the activities in 2 logical sequences (show the sequences as paths) (6 marks) (b) Determine the expected project duration and the critical activities. (19 marks) (c) What is the probability that Angelina will complete project in 12 hours? (5 marks) (d) How many hours should Angelina allow if she wants to be 100% sure that she has the assignment completed in time to meet the Professor's deadline?