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Question 1 (25 marks) (a) "Project risks can be eliminated if the project is carefully planned." Do you agree with this? Explain. (5 marks) (b) Consider the following project information. (i) Draw an AON and an AOA network diagrams. For these diagrams. you do not need to show activity durations and slack times on these diagrams. (5 marks) (ii) Complete the forward and backward pass calculations, compute activity slacks and identify critical path. How many days will the project take? (5 marks) Forward pass: (c) Now consider the following three time estimates for the above project. What is the probability of completing the project within 150 days? Compute calculations to one decimal accuracy. Show all your calculations. Normal probability tables are given at the end of the question paper. (10 marks)