Task X has an 82 percent probability that it will be completed in 20 days or less.The standard deviation of its duration is five days.What is its expected duration?
A)15.4 days
B)15.9 days
C)19.1 days
D)12.3 days

Question

Quizplus · Accepted Answer

The expected duration is the mean, which is equal to the expected value plus the standard deviation times the z-score corresponding to the probability. In this case, the probability is 0.82, which corresponds to a z-score of 0.91. Therefore, the expected duration is 20 + 5 * 0.91 = 15.4 days.

Task X Has an 82 Percent Probability That It Will