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)0%
B)0.39%
C)50%
D)100%

Question

Quizplus · Accepted Answer

Given the project's expected completion time (mean) is 68 days and the variance is 21 days, the standard deviation (σ) can be calculated as the square root of the variance, which is √21 ≈ 4.58 days. To find the probability of completing the project within 50 days, we calculate the Z-score, which is (X - μ) / σ, where X is the desired completion time (50 days), μ is the mean (68 days), and σ is the standard deviation (4.58 days). This calculation results in a Z-score that is significantly less than the mean, indicating a probability that is practically 0% because it falls far below the mean, making it virtually impossible in a normal distribution.

If a Project Is Expected to Be Completed in 68