SafeWork Technology manufactures medical textiles and has experienced huge and growing demand in the past two years. To cope with this increased demand, the company plans to implement several expansion projects. One of these projects involves building a new factory in NSW. After several meetings, nine major expansion activities have been identified, and the company plans to assign project managers to support these activities. People involved in the expansion were interviewed to gather information for the following table:

* Project managers are qualified to work on all activities relating to the companys expansion projects and can be interchanged between activities and projects.

(a) Suppose that Safework aims to finish this expansion project within 25 weeks. What is the 3 probability of completing the critical path(s) within 25 weeks? What is the probability of completing each of the non-critical paths within 25 weeks (Hint: the path standard deviations are 1.91, 1.15, 3.20 and 2.81for path ABDFGI, ABDFHI, ACEFGI, and ACEFHI, respectively)?

(b) Using your answer to (a), explain the value of calculating path standard deviations.

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