1. (SHOW YOUR COMPLETE WORK) A project network is shown below, with three different time estimates (Optimistic Time-Most Likely Time-Pessimistic Time (in days)) for each activity in the network. a. Compute the expected time for each activity in the project network. [7 points] b. Identify and list all possible paths in the project network. Compute the expected duration for each path in the project network. [10 points] c. Identify the critical path(s) in the project network. What is the expected project completion time? d. Compute the variance of each activity on the critical path(s). [4 points] e. Determine the project variance and project standard deviation. [4 points] [4 points] Use the PERT analysis results in (c) and (e) above to answer questions (f), (g), (h), and (i) below: f. What is the probability that the project can be completed within 34 days of its start? [4 points] g. What is the probability that the project can be completed within 25.5 days of its start? [5 points] h. Determine the project deadline that gives this project a 66% chance of on-time completion. [5 points] i. Determine the project deadline that gives this project an 11% chance of on-time completion. [6 points]