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Immediate predecessors for the activities

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The estimated times (in weeks) and immediate predecessors for the activities in a project are given in the following table. Assume that the activity times are independent.

                                                                                          WEEKS

ACTIVITY           IMMEDIATE PREDECESSOR          a         m        b              

       A                                     --                                     9         10       11

       B                                    --                                      4         10       16

       C                                    A                                      9         10       11

       D                                    B                                      5          8        11   

a) If the time to complete path A-C is normally distributed, what is the probability that this path will be finished in 22 weeks or less?

b) If the time to complete B-D is normally distributed, what is the probability that this path will be finished in 22 weeks or less?

c) Explain why the probability that the critical path will be finished in 22 weeks or less is not necessarily the probability that the project will be finished in 22 weeks or less.

Reference no: EM132464965

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