Problem 9-09 (Algorithmic) 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) Most Immediate Predecessor(s) Optimistic Probable Pessimistic 10 11 15 7 9 11 A 5 7 12 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 4 5 B 3N 6 6 6 6 AD 8 10 12 E b. Compute the expected duration and variance of each activity. If required, round your answer to two decimals. If your answer is zero, enter "o". Activity Expected Time Variance A B C D E F Activity ES LS EF Critical UF Slack Activity B D JIII lllllll E IIIIII F III Determin . c. Determine the critical path in the project network. d. What is the expected duration and variance of the critical path? If required, round your answer to two decimals, Expected duration - Variance - e. What is the likelihood that the project will be completed within 30 days? If required, round your answer to four decimals. Note: Use Appendix B to identify the probability, Likelihood - f. If activity B is delayed by six days beyond its early start time, how does this affect the expected project duration? If required, round your answer to one decimal place A delay of 6 days to activity B affect the time to complete this project because activity Bhas a slack of days. 9. Using all paths through the project network, estimate the probability that the project will be completed within 30 days. Compare your answer to the answer in parte and explain. Round your answers for values to 2 decimal places and for probability values to 4 decimal places For path B-D-F e. What is the likelihood that the project will be completed within 30 days? If required, round your answer to four decimals. Note: Use Appendix B to identify the probability Likelihood f. If activity B is delayed by six days beyond its early start time, how does this affect the expected project duration? If required, round your answer to one decimal place. A delay of 6 days to activity B affect the time to complete this project because activity B has a slack of 9. Using all paths through the project network, estimate the probability that the project will be completed within 30 days. Compare your answer to the answer in parte and explain. Round your answers for values to 2 decimal places and for probability values to 4 decimal places, For path B-D-F days Cumulative probability = For path A-F: Cumulative probability Pentire project completed)