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A project has 7 activities P, Q, R, S, T, U, and V. Three time estimates (optimistic, most-likely, pessimistic) are used for each activity.

Write down your answers to all parts of the question in the box given below. Give your answer to 3 decimal places. (Note (a) has of 2 parts and (b) has of 3 parts)

1. For activity Q, these time estimates are as follows: optimistic time = 9, most-likely time = 16, pessimistic time = 23. Write down

   1. the average activity time for Q

   2. the variance of activity time for Q.

2. The critical path of this project has a mean project time of 39 days and a standard deviation of 8 days. Assume project completion time is normally distributed.

   1. Find the probability that the project will be completed in 50 days.

   2. Find the probability that the project will take more than 25 days.

   3. We want to set a deadline for this project completion. If the probability of meeting this set deadline is 0.91, what will be the deadline for this project.