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

# Brief Explanations:<br />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:<br />\[\sigma = \frac{P - O}{6}\]<br />Here, the optimistic estimate (O) is 12 days, and the pessimistic estimate (P) is 22 days. Plug these values into the formula:<br />\[\sigma = \frac{22 - 12}{6} = \frac{10}{6} \approx 1.67\]<br />Therefore, the standard deviation is approximately 1.67 days, which falls in the range of 1 to 2 days.<br /><br /># Answer:<br />A) Between 1 and 2 days