The following table represents a plan for a project:

b$.$ Indicate the critical path.

$1-2-5-8-9-11$

$1-4-7-10-11$

$1-3-6-8-9-11$

c$.$ What is the expected completion time for the project?

Note: Do not round Intermedlate calculations. Round your answer to $2$ decimal places.

Expected completion time

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 earllest

completion time is reduced, which of the following actions should be taken, if any?

Reduce job $5$ by two days.

Yes

No

Reduce job $3$ by two days.

Yes

No

Reduce job $7$ by two days.

Yes

No

What is the probability that the project will take more than $30$ days to complete?

Note: Use Excel's NORMSDIST functlon to find the correct probability for your computed Z value. Other than the expected

completlon time you entered In part c above, do not round Intermedlate calculations. Round $Z$ value to $2$ decimal places your

final answer to $4$ decimal places.

Probability