5. (10 points) A project has seven activities: A, B, C, D, E, F, and G. Activities A, B can start anytime. Activity A must be completed before activity C and D can start. Activities E and F can start as soon as Activity B and C are completed. Activities D and E must be completed before Activity G can start. Activity G and F must be completed before ending the project. Optimistic time estimate for activities are as followings: A = 1, B 2, C 2,D = 3, E = 4, F = 0 and G =2. Pessimistic time estimate for activities are as followings: A = 7,B-2,C-8, D-5, E -8, F = 6 and G-8. Most likely time estimate for activities are as followings: A-4B-2, C-5, D = 4, E = 6, F = 0 and G-5. All units are days. What is the probability that the project will be completed in 24 days? PS: You need to show the flow map and work BONUS PROBLEM (5 points): The estimated times and immediate predecessors for the activities in a project at Dr. Doofenshmirtz's retinal scanning clinic are as follows: 11 Activity Optimistic Most likely Pessimistic Immediate Predecessors 10 11 B 4 10 16 C 9 10 A DT 5 T 8 11 B A. Determine the expected time and variance for each activity B. What is the critical path and how long does it take on the critical path? C. What is the variance along the critical path and along the other path in the network? D. If the time to complete A-C is normally distributed, what is the probability that this path will be completed in 21 weeks E. If the time to complete B-D is normally distributed, what is the probability that this path will be completed in 21 weeks