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A CPM/PERT project network with probabilistic activity times includes an activity with a most likely time of 11 days, an optimistic time of 9 days, and a pessimistic time of 22 days. The variance of the activity in the problem above is (round your answer to 1 decimal place)

Question

A CPM/PERT project network with probabilistic activity times includes an activity with a most likely time of 11 days, an optimistic time of 9 days, and a pessimistic time of 22 days. The variance of the activity in the problem above is (round your answer to 1 decimal place)

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Solution

The variance of an activity in a CPM/PERT project network can be calculated using the formula:

Variance = ((Pessimistic time - Optimistic time) / 6)^2

Given in the problem: Pessimistic time = 22 days Optimistic time = 9 days

Substituting these values into the formula:

Variance = ((22 - 9) / 6)^2 Variance = (13 / 6)^2 Variance = 2.17^2 Variance = 4.7 (rounded to 1 decimal place)

So, the variance of the activity is 4.7.

This problem has been solved

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