If a project is expected to be completed in 68 days with a project variance of 21 days,what is the probability that the project will be completed within 50 days?
A)less than 1%
B)between 5% and 10%
C)between 15% and 30%
D)over 35%

Question

Quizplus · Accepted Answer

To find the probability of completing the project within 50 days, we use the Z-score formula in project management, which is Z = (X - μ) / σ, where X is the desired time (50 days), μ is the mean or expected completion time (68 days), and σ is the standard deviation (the square root of the variance). Given a variance of 21 days, the standard deviation is √21 ≈ 4.58 days. Plugging into the formula gives Z = (50 - 68) / 4.58 ≈ -3.93. A Z-score of -3.93 corresponds to a probability of less than 1% in the standard normal distribution table.

If a Project Is Expected to Be Completed in 68