At a local university, the Student Commission on Programming and Entertainment (SCOPE) is preparing to host its first rock concert of the school year. To successfully produce this rock concert, SCOPE has listed the requisite activities and related information in the following table (duration estimates measured in days). Immediate Most Predecessor(s) Optimistic Probable Pessimistic 8 10 15 7 5 8 6 9 10 A Activity A: Negotiate contract with selected musicians B: Reserve site C: Manage travel logistics for music group D: Screen & hire security personnel E: Arrange advertising & ticketing F: Hire parking staff G: Arrange concession sales B 3 3 3 B, C 1 5 9 D E 4 3 7 8 10 10 a. Choose the correct project network. (i) (ii) A G A A C F Start Finish Start B D B D E (iii) (iv) E G A F G Start Finish Start B D B D E > b. Compute the expected duration and variance of each activity. If required, round your answers to two decimal places. Activity Expected Time Variance A B D E F G Determine the critical path in the project network. d. What is the expected duration and variance of the critical path? If required, round your answers to two decimal places. Expected duration = Variance = e. What is the likelihood that the project will be completed within 30 days? If required, round your answer to three decimal places