(a) Draw the activity network for this project. ( 8 marks) (b) Determine the slack in the table for each activity. (5 marks) (c) Indicate by yes or no the critical activities in the table and state the critical path ( 5 marks). (d) What are the expected time of the Project(PROJECT Duration), variance and standrd deviation of the project? (1+1+1=3 marks) e) what is the probability that the project can be completed in i) 3 weeks more than the expected time ii) Three weeks less than the expected time and iii) The exact time as the expected time (1+1+1=3 marks). f) If there is a LAG time of 3 weeks between ACTIVITIES B and D determine the critical path( 3 marks and Project Duration(2 marks) AND RECALCULATE PART e) for this new expected time. (1+1+1=3 marks). Please show your workings or reasoning. A NEW NETWORK DIAGRAM CAN SUFFICE