The table bellow includes all activities to overhaul the workshop for a local company. The table shows time estimates compiled by the project manager for each of the activities of the project including optimistic, most likely, and pessimistic. The CEO wants to finish the overhaul in 47 working days from now. Activities (1 2 3 4 5 6 7 8 9 10 Predecessors 1 2 3,5 4 6 7,8 7 Optimistic 5 6 3 11 6 3 4 5 8 4 Most Likely 7 8 4 17 8 4 8 7 11 4 Pessimistic 8 12 5 25 15 5 99 17 4 - 1 5 a) Sketch the project activity network in the submitted paper b) Calculate the expected activity times te for all activities based on the beta distribution, but write here te for Activity 5 c) Calculate the variance of the beta distribution de for all activities. But write here oe? for Activity 5 d) Define the critical path (in numbers without spaces) e) Which activity has the maximum slag? f) What is the probability that everything will be ready in time