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CMA Intermediate · Operations Management and Strategic Management · Project Management, Monitoring and Control

The critical path of a project at Kaveri Constructions consists of three activities with expected times of 10, 14 and 16 days, and variances of 1, 4 and 4 respectively. What is the standard deviation of the project duration?

The standard deviation is 3 days. Variances along the critical path add up to 1 + 4 + 4 = 9, and the square root of 9 is 3. Standard deviations themselves cannot be added directly.

  1. A3 daysCorrect
  2. B9 days
  3. C2.65 days
  4. D1.73 days

Explanation

Project variance is the sum of critical path variances: 1 + 4 + 4 = 9. Standard deviation = square root of 9 = 3 days. Adding the individual standard deviations (1 + 2 + 2 = 5) would be wrong, as it is variances that add.

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