Question

A PERT network has 9 activities on its critical path. The standard deviation of each activity on the critical path is 3. The standard deviation of the critical path is

Options :

  1. 3

  2. 9

  3. 27

  4. 81

Show Answer

Answer :

9

Solution :

σ1, σ2, ...., σ8, σ9 = 3

σcp = σ 1 2 + σ 2 2 + + σ 8 2 + σ 9 2

σcp 3 2 + 3 2 + 3 2 + 3 2 + 3 2 + 3 2 + 3 2 + 3 2 + 3 2

σcp 9 × 9 = 9

∴ the standard deviation of the critical path is 9.

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