Question
36) An activity has an optimistic time estimate of 12 days, a most likely estimate of 16 days, and a pessimistic estimate of 22 days. What is the expected standard deviation of the activity? A) Between 1 and 2 days B) Between 2 and 3 days C) Between 3 and 4 days D) Between 4 and 5 days
Solution
4
(287 Votes)
Mitchell
Master · Tutor for 5 years
Answer
# Brief Explanations:To find the standard deviation (σ) for an activity's duration given the optimistic (O), most likely (M), and pessimistic (P) estimates, you use the formula:
Here, the optimistic estimate (O) is 12 days, and the pessimistic estimate (P) is 22 days. Plug these values into the formula:
Therefore, the standard deviation is approximately 1.67 days, which falls in the range of 1 to 2 days.# Answer:A) Between 1 and 2 days