Problem 3. (21 marks). 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). a. (7 marks) Draw the project network, indicating the earliest start, earliest finish, latest start, and latest finish day of each activity. 2 b. (2 marks) What is the expected duration and variance of the critical path? c. (4 marks) Based on the critical path, what is the likelihood that the project will be completed within 30 days? e. (4 marks) Based on the critical path, what is the likelihood that the project will be completed in more than 25 days? d. (4 marks) Based on the critical path, what deadline should be set so that the likelihood of completing the project within that deadline is 75%