(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. b. Identify and list all possible paths in the project network. Compute the expected duration for each path in the project network. 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). e. Determine the project variance and project standard deviation. 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? g. What is the probability that the project can be completed within 25.5 days of its start? h. Determine the project deadline that gives this project a 66% chance of on-time completion. i. Determine the project deadline that gives this project an 11% chance of on-time completion. Use the appropriate label/umit of measurement in your answers. Leave the numbers in decimal and go up to 5 decimal places for higher accuracy