(a) Explain the role of statistical technique in Project Evaluation and Feview Technique, PERT. [2 Marks] (b) A small project is composed of 7 activities whose time estimates are listed in the table below. Activities are identified by their beginning (i) and ending (j) node numbers. (i) Draw the project network. [4 Marks] (ii) Find the expected duration and variance for each activity. [6 Marks] (iii) Determine the project length. [2 Marks] (iv) Determine the probability that the project will be completed at least 4 weeles earlier than expected. [3 Marks] (v) If the project due date is 19 weeks, find the probability of not meeting the due date. [3 Marks] Use the Z table below