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Problem 1-(15 marks) The following robbery project has been planned by three criminals X,Y and W for a jewelry store. 1) Fill out the empty cells (TE and VAR.) in the table below Activity Immed.Pred MEAN (TEX Optimistic Most Likely Pessimistic Variance Resource A. disarm exterior alarm syste None 7 9 11 X B. disarm office alarm system A 3 4 5 X C. crack office safe B 4 6 7 D. clean out office safe C 12 14 17 x/y/ w E. crack jewelry safe A 9 12 15 y F. clean out jewelry safe E 8 10 12 x/y/ w G. gather loot and exit D,F 6 7 11 x/y/ w ii) Given unlimited availability of resources: Evaluate the officer's chance to catch the robbers just as they have finished the robbery, if she arrives 41 minutes after the robbery begins. (6 marks) [Calculate the probability for the critical path only] iii) Given the limited resources as indicated in the table above: Evaluate the officer's chance to catch the robbers, if she arrives 49.9 minutes after the robbery begins. (9 marks) [Calculate the probability for the critical path only)