please solve this

3. [Chapter 3:25 points] You are employed at a drone manufacturing company and have been appointed as the project manager for a new drone design project. Your superiors have already defined the project's scope and furnished you with a detailed list of major project activities, including their optimistic, most likely, and pessimistic time estimates, as well as their interdependencies. Your task is to develop the project schedule and determine the estimated project duration. Your boss expects this information to be delivered by the end of the day on September 29, 2023. a. Develop an AON network diagram for the project. Calculate the expected time, 4 , for cach activity, Calculate the variance, 2, for each activity. (5) b. What is the expected completion time of the critical path (x) ? What is the expected completion time of the noncritical path(s) in the network? What is the variance of the critical path? What are the variances of the noncritical paths in the network? What is the latest finish time for activities A and H ? (10) c. What is the probability that the project will be completed in 150 days or less? What is the probability that the project will take 145 days or more to complete? What is the probability that the project will be completed in 140 days or less? What is the probability that the project will tahe between 140 and 150 days? (8) d. What is the due date that yields a 95% chance of completion? (2)