Given the following information, please answer question $9$~$12$

Hint: p$(0<$ z $<1\mathrm{.}645)=0\mathrm{.}45$

Activity

Immediate

Predecessors

Completion Time $($Weeks$)$

Optimistic

Most Likely

Pessimistic

A

N$/$A

$1$

$2$

$3$

B

A

$2$

$4$

$6$

C

A

$2$

$5$

$8$

D

A

$1$

$1$

$1$

E

B$,$ C

$2$

$3$

$4$

F

D

$1$

$2$

$3$

Q$9.$ What is the probability the project will be completed in $8$ weeks?

Group of answer choices

$0\mathrm{.}0212$

$0\mathrm{.}0351$

$0\mathrm{.}0451$

$0\mathrm{.}0514$

Flag question: Question $10$

Question $105$ pts

What is the probability the project will be longer than $9\mathrm{.}5$ weeks?

Group of answer choices

$0\mathrm{.}2054$

$0\mathrm{.}7054$

$0\mathrm{.}1736$

$0\mathrm{.}6736$

Flag question: Question $11$

Question $115$ pts

What is the $90\%$ confidence interval of the total project completion time?

Group of answer choices

$6$~$13$

$8$~$12$

$7$~$10$

$5$~$8$

Flag question: Question $12$

Question $125$ pts

Give a time within which you can be $95\%$ sure of completing the project.

Group of answer choices

$14\mathrm{.}15$

$10\mathrm{.}25$

$8\mathrm{.}17$

$11\mathrm{.}82$