(SHOW YOUR COMPLETE WORK) A project network is shown below, with three time estimates (Optimistic Time-Most Likely Time Pessimistic Time (in weeks)) for each activity in the network 13-16-17.5 12-16-17 B E 14-16-18 H 0-0-0 14-15-19 12.5-15-19 15-17-22 0-0-0 Start End A A F 16-17-21 14-15.5-17 13-14-18 D G a. Compute the expected time for each activity in the project network [9 points] b. Identify and list all possible paths in the project network Compute the expected duration for each path in the project network [15 points) c identify the critical path(s) in the project network. What is the expected project completion time? [4 points) d. Compute the variance of each activity on the critical path(s). [5 points) c. Determine the project variance and project standard deviation [5 points] Use the PERT analysis results in 2(C) and 2(e) to answer questions (f), (g). (h), and below: f What is the probability that the project can be completed within 69 weeks of its start? [4 points) g. What is the probability that the project can be completed within 62 weeks of its start? [5 points) h. Determine the project deadline that gives this project a 68% chance of on-time completion 15 points) i Determine the project deadline that gives this project a 14% chance of on-time completion. [6 points) Use the appropriate label/unit of measurement in your answers. Leave the numbers in decimal and go up to 5 decimal places for higher accuracy