A project manager has compiled a list of major activities that will be required to install a computer information system in her firm. The list includes estimated completion times for activities and precedence relationships.

a. Construct a network diagram. You can use either AOA or AON (see Example 5). 

b. If the project is finished within 26 weeks of its start, the project manager will receive a bonus of $ 1,000; and if the project is finished within 27 weeks of its start, the bonus will be $ 500. Find the probability of each bonus.

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Immediate Estimated Activity Predecessor Times (weeks) A 2-4-6 D A 6-8-10 E D 7-9-12 H E 2-3-5 A 3-4-8 G 5-7-9