Problem $4-12($Static$)$

The following table represents a plan for a project:$$

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$$TIMES $($DAYS$)$JOB NO$.$PREDECESSOR

JOB$($S$)$amb$12342112331451241341152135631237418985,6246982412107345119,10578$

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b$.$Indicate the critical path. $$

multiple choice $1$

$1-4-7-10-11$

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

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

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

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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?

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$1.$ Reduce job $5$ by two days.

multiple choice $2$

Yes

No

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$2.$ Reduce job $3$ by two days.

multiple choice $3$

Yes

No

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$3.$ Reduce job $7$ by two days.

multiple choice $4$

Yes

No

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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.$)$