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Question\#02) [Total: 30 marks]: A medical institute is planning to hold an annual conference on the eradication of cancer. In order to coordinate the project, it was decided to use the PERT network. The major activities and time estimate a,m, and b for each activity are carefully computed and given as follows. 1) Compute the Expected Time and Variance for each activity. (5 marks) 2) Draw the PERT diagram (AON) for the project. And compute ES, EF, LS, LF, Project completion time, and Slack time. (15 marks) 4) Identify the critical path and find its length and variance. (5 marks) 5) What is the probability that the project will be completed within 30 days