Consider the following project scheduling problem Activit Immediate y Predecessor A B C A D A E C F D. B G E. F Estimates of the optimistic, most probable and pessimistic times (in days) for the above activities are the following: Activit Optimisti Most Pessimisti V probable A 5 6 7 B 5 12 13 6 8 10 D 4 10 10 E 5 6 13 7 10 G 4 7 10 a. Compute the expected completion time and variance for all the activities b. Compute expected ES, EF, LS, LF and slack for each activity. Find the critical path. c. What is the expected completion time of the project? d. How many days are required to complete the project with 50% probability? ( d. Find the probability that the project will be completed in 32 or fewer days. f. How many days are required to complete the project with 80% probability