The Aswan Software Company has been contracted by Shana-Cuna Bank to develop "Card-Track" a software for tracking the spending pattern of credit-card holders. The Bank wants this software developed as quickly as possible. Aswan has identified the list of activities (and their precedence relationship) that are required to be performed for completing this software development project. The precedence relationships and time required for each activity are given in the table below. The time required for completing each activity follows a uniform distribution between the minimum and maximum times given above. Note that the variance of a uniform random variable is (ba)2/12, where a is the minimum value and b is the maximum value. a. Draw the PERT network for this project. Based on the expected time for each activity, determine the critical path and the expected time required to complete the critical path. b. What is the probability that the project will be completed in 44 weeks? The Aswan Software Company has been contracted by Shana-Cuna Bank to develop "Card-Track" a software for tracking the spending pattern of credit-card holders. The Bank wants this software developed as quickly as possible. Aswan has identified the list of activities (and their precedence relationship) that are required to be performed for completing this software development project. The precedence relationships and time required for each activity are given in the table below. The time required for completing each activity follows a uniform distribution between the minimum and maximum times given above. Note that the variance of a uniform random variable is (ba)2/12, where a is the minimum value and b is the maximum value. a. Draw the PERT network for this project. Based on the expected time for each activity, determine the critical path and the expected time required to complete the critical path. b. What is the probability that the project will be completed in 44 weeks