There are 4 paths as follows: Path 1: Start → 1 → 4 → 5 → 6 → 7 → 8 → 9 → 10 → End Path 2: Start → 2 → 3 → 4 → 5 → 6 → 7 → 8 → 9 → 10 → End Path 3: Start → 1 → 4 → 5 → 6 → 7 → 8 → 11 → End Path 4:...

There are 4 paths as follows:

              Path 1: Start → 1 → 4 → 5 → 6 → 7 → 8 → 9 → 10 → End

              Path 2: Start → 2 → 3 → 4 → 5 → 6 → 7 → 8 → 9 → 10 → End

              Path 3: Start → 1 → 4 → 5 → 6 → 7 → 8 → 11 → End

              Path 4: Start → 2 → 3 → 4 → 5 → 6 → 7 → 8 → 11 → End

What are the mean and the variance of the duration of each path? What is the longest path in mean time? Fill in the following table and identify the longest path in mean time.

Answer: The longest path in mean time is                                                                .

 What is the probability of completing the longest path within 185 minutes? Assume that the duration of the longest path is normally distributed.

What is the time T for which the probability to complete the longest path is 95%? Assume that the duration of the longest path is normally distributed.

                                                             .