If a project is expected to be completed in 68 days with a project variance of 9 days,what is the probability that the project will be completed within 70 days?
A)about 45%
B)about 55%
C)about 65%
D)about 75%

Question

Quizplus · Accepted Answer

To find the probability that the project will be completed within 70 days, we can 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 expected time to completion (68 days), and σ is the standard deviation (the square root of the variance, which is 3 days in this case, since the variance is 9). Plugging in the numbers, we get Z = (70 - 68) / 3 = 2/3. Looking up 2/3 on a standard normal distribution table or using a calculator, we find that the probability of completion within 70 days corresponds to a Z-score of about 0.7486, which translates to a probability of about 75%.

If a Project Is Expected to Be Completed in 68