Please fully show your work. Thanks in advance!

A project involves the following activities, their predecessors, and the times in weeks) associated with each activity Most Likely Activity Immediate Predecessor Optimistic (a) Pessimistic (b) DE F G HI a. Draw a complete network for the above. b. Determine the critical path and list all the activities that are on the critical path. What is the expected project completion time? c. and Develop the detailed activity schedule for the project (provide a table giving ES, EF, LS, LF, and Slack). d. What is the probability that the project will be finished in 21 weeks or less? e. What is the probability that the project will take between 19 to 21 weeks to be completed? f. If activity F is delayed and takes 10 weeks to complete, would the project com- pletion time be any different? If yes, what would be the critical path and the ex- pected completion time