4) [30 points] Consider the task on arrow) project network diagram below: 2 6 1 5 8 3 3 4 For each activity, the pessimistic, optimistic, and most likely task time has been defined (in days). Activity Pessimistic Optimistic Estimate Estimate Most Likely Expected Duration Sides 15 12 14.23 -3 12 6 9 18 10 11 VO 2 2 42 6 2 3 5-6 23 11 17 4-5 18 12 15 6-8 10 6 8 a) Compute the expected duration value and standard deviation for each activity. (round to two decimal cases when required) b) Identify the critical path for the project. How do you know this to be the critical path? c) Compute 1) the expected value and 2) the standard deviation of completion time for the critical path. What distribution does this time estimate follow? d) What is the probability that the project will be done in 35 days or less