The following table represents a plan for a project in days: (a) Construct the appropriate network diagram. (1 point) 1 Job # Immediate Predecessors 1 Optimistic 2 2 1 1 1 2 3 4 5 6 7 8 9 3 3 2 3 Most Likely 3 4 2 5 7 3 5 8 4 2 3 4 5 6 7 8,9,10 Pessimistic 5 5 3 12 12 4 6 10 5 7 11 4 3 5 10 11 6 10 7 (b) Calculate expected times and variances of all activities (assuming a Beta distribution). (2 points) (c) List all paths of the network and their expected durations and variances. (3 points) (d) What is the expected and standard deviation of the completion time for the project? (1 point) (e) What is the probability that the project will take more than 30 days to complete? (1 point) The following table represents a plan for a project in days: (a) Construct the appropriate network diagram. (1 point) 1 Job # Immediate Predecessors 1 Optimistic 2 2 1 1 1 2 3 4 5 6 7 8 9 3 3 2 3 Most Likely 3 4 2 5 7 3 5 8 4 2 3 4 5 6 7 8,9,10 Pessimistic 5 5 3 12 12 4 6 10 5 7 11 4 3 5 10 11 6 10 7 (b) Calculate expected times and variances of all activities (assuming a Beta distribution). (2 points) (c) List all paths of the network and their expected durations and variances. (3 points) (d) What is the expected and standard deviation of the completion time for the project? (1 point) (e) What is the probability that the project will take more than 30 days to complete? (1 point)