Following table gives the list of various activities involved in the launch of a new CREDIT CARD service by a company, their immediate predecessors and their expected durations (in days):

where T0 = most optimistic time, Tm = most likely time, and TP = most pessimistic time

(a) Draw an arrow diagram for the project.

(b) Find the expected project completion time of the project.

(c) Determine the probability of completing the project in 165 days.

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Activity Description of Activity Expected Durations Tm Tp (in days) Immediate Predecessor To A Conduct Market Research to determine size, potential and competition in the market B Define Marketing Strategy in terms of positioning and product features C Estimate expected volumes D Estimate additional manpower required E Identify modifications required to the present computer system based on expected volumes Implement computer system modifications F G Update physical facilities H Hire additional Sales force Operations Staff Prepare instruction manuals for modified system ABC CECFD 10 10 12 14 4 8 536 14 15 17 424 10 22057 10 14 25 27 20 21762 7 14