If a project has an expected completion time of 15 weeks with a variance of 4 weeks,the probability that the project will be completed in 12 weeks is ______.
A)about 6.7%
B)about 43.3%
C)about 29.1%
D)about 54.3%

Question

Quizplus · Accepted Answer

To find the probability that the project will be completed in 12 weeks, we can use the Z-score formula in project management, which is Z = (X - μ) / σ, where X is the desired time (12 weeks), μ is the mean or expected completion time (15 weeks), and σ is the standard deviation (the square root of the variance, which is 2 weeks in this case since the variance is 4). Plugging in the numbers, we get Z = (12 - 15) / 2 = -1.5. Looking up -1.5 on the standard normal distribution table gives us a probability of about 6.7%.

If a Project Has an Expected Completion Time of 15