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 15 weeks is ______.
A)close to zero
B)half
C)more than 75%
D)less than 25%

Question

Quizplus · Accepted Answer

Since the variance is 4 weeks, the standard deviation is 2 weeks (square root of the variance). Using the normal distribution, we can find that the probability of completing the project in 15 weeks is around 50%. This is because the mean (expected completion time) is the same as the mode (most frequent completion time) in a normal distribution, and the probability of completing the project in either direction from the mean is equal. Therefore, the answer is B, half.

If a Project Has an Expected Completion Time of 15