5. Autodesk Incorporation is planning a new program designed around several integrated modules. Work activities related to the development of the modules are listed below, together with estimated activity times in weeks) and standard deviations (in weeks) that indicate the uncertainty in the given activity time. Activities x and y represent the start and termination (completion of the project, but they have no time values. (a) Draw the PERT network diagram for the project, labeling all activities and times. (b) Perform a forward pass and backward pass through the network to determine the critical path the expected duration of the project, and the slack time for each activity. (c) What is the probability that the activity can be finished within 24 weeks? (20 points) Show all the necessary values in a table. Activity de i Immediate predecessor d. e f g h i Estimated activity time Standard deviation b f & h X b b 0 10 8 6 9 4 5 8 3 11 0 0 2.0 1.6 1.2 1.8 0.8 1.0 1.4 0.6 2.2 0