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Question no. 57928

The statistical probability distribution governing activity durations in PERT follows__________________?

Select your answer for: The statistical probability distribution governing activity durations in PERT follows__________________?
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Answer: C. beta

Explanation

PERT models activity duration uncertainty using the beta probability distribution curve. The beta distribution is selected because it accommodates single-mode, skewed, and bounded time estimates effectively. Calculating expected times and standard deviations in PERT networks relies entirely on beta distribution properties. Beta distributions are bounded by finite minimum and maximum values, matching optimistic and pessimistic time estimates. Probability theory provides mathematical models to represent random variables encountered in project management scheduling. Project network analysis converts subjective human estimates into statistically sound duration expectations using beta curves.

Project managers apply beta distribution formulas to estimate the probability of completing construction projects on schedule. Software tools use PERT beta calculations to generate probabilistic completion date forecasts for engineering tasks. Understanding activity distribution curves helps planners allocate contingency buffers to critical project paths. Normal distributions are symmetric and unbounded, making them less suitable for bounded three-time PERT estimates. Binomial distributions apply to discrete binary trial outcomes rather than continuous project task duration variables. Exponential distributions model memoryless inter-arrival times in queuing systems rather than bounded project durations.

Subject
Engineering
Topic
—
Difficulty
medium

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