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 70 days?
A)between 35% and 40%
B)between 45% and 50%
C)between 55% and 60%
D)between 65% and 70%

Question

Quizplus · Accepted Answer

To find the probability that the project will be completed within 70 days, we use the Z-score formula in project management, which is Z = (X - μ) / σ, where X is the desired time to completion (70 days), μ is the mean or expected time to completion (68 days), and σ is the standard deviation, which is the square root of the variance (√21 ≈ 4.58 days). Plugging in the values, we get Z = (70 - 68) / 4.58 ≈ 0.44. Looking up 0.44 on the standard normal distribution table, we find that the area to the left (which represents the probability of completing the project in 70 days or less) is approximately 0.67, or 67%. Therefore, the probability is between 65% and 70%.

If a Project Is Expected to Be Completed in 68