4...The following table represents a plan for a project:

Times of day

^{Job no. Predecessor Jobs A B C}

1 __ 2 3 4

2 1 1 2 3

3 1 4 5 12

4 1 3 4 11

5 2 1 3 5

6 3 1 2 3

7 4 1 8 9

8 5,6 2 4 6

9 8 2 4 12

10 7 3 4 5

11 9,10 5 7 8

b.Indicate the critical path.

1-4-7-10-11

1-2-5-8-9-11

1-3-6-8-9-11

c.What is the expected completion time for the project?(Do not round intermediate calculations. Round your answer to 2 decimal places.)

__________ days

d.You can accomplish any one of the following at an additional cost of $1,500. If you will save $1,000 for each day that the earliest completion time is reduced, which of the following actions should be taken, if any?

1.Reduce job 5 by two days.

yes or no????

2.Reduce job 3 by two days.

yes or no ????

3.Reduce job 7 by two days.

yes or no ????

e.What is the probability that the project will take more than 30 days to complete?(Use Excel's NORMSDIST() function to find the correct probability for your computed Z-value. Other than the expected completion time you entered in part c above, do not round intermediate calculations. Round "z" value to 2 decimal places your final answer to 4 decimal places.)

probability _______