We ask the engineers working on activity A to factor in uncertainty in activity times and to provide better estimates of the activity times. The engineers tell us that activity A takes 2 weeks 25% of the time, 4 weeks 50% of the time and 6 weeks 25% of the time. How long does the project now take to complete (on average)

Question

Mathematics

Jaquan Boyle

19 February, 07:53

We ask the engineers working on activity A to factor in uncertainty in activity times and to provide better estimates of the activity times. The engineers tell us that activity A takes 2 weeks 25% of the time, 4 weeks 50% of the time and 6 weeks 25% of the time. How long does the project now take to complete (on average)

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Answers (1)

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Dayana Ingram · Answer 1

On average, the project takes 4 weeks to complete.

Step-by-step explanation:

We have these following probabilities:

25% probability that the activity takes 2 weeks.

50% probability that the activity takes 4 weeks.

25% probability that the activity takes 6 weeks.

How long does the project now take to complete (on average)

We multiply each duration by it's probability.

0.25*2 + 0.5*4 + 0.25*6 = 4

On average, the project takes 4 weeks to complete.