Activity

Time $($weeks$)$

Immediate

$$Predecessor$($s$)$

Activity

Time $($weeks$)$

Immediate

$$Predecessor$($s$)$

a

m

b

a

m

b

A

$4$

$9$

$12$

long dash

G

$3$

$3$

$4$

$$C$,$ E

B

$1$

$8$

$23$

A

H

$2$

$2$

$2$

F

C

$9$

$14$

$18$

A

I

$7$

$7$

$7$

F

D

$5$

$7$

$9$

A

J

$6$

$8$

$12$

$$D$,$ G$,$ H

E

$1$

$2$

$4$

B

K

$1$

$1$

$4$

$$I$,$ J

F

$6$

$8$

$21$

$$C$,$ E

Part $2$

$$a$)$ The expected$($estimated$)$ time for activity C is

$$

$13\mathrm{.}83$ weeks. $($Round your response to two decimal$$ places.$)$

Part $3$

$$b$)$ The variance for activity C is

$$

$2\mathrm{.}25$ weeks. $($Round your response to two decimal$$ places.$)$

Part $4$

$$c$)$ Based on the calculation of the estimated$$ times, the critical path is

A $-$ C $-$ F $-$ H $-$ J $-$ K

$.$

Part $5$

$$d$)$ The estimated time for the critical path is

$$

$44\mathrm{.}16$ weeks. $($Round your response to two decimal$$ places.$)$

Part $6$

$$e$)$ The activity variance along the critical path is

$$

$11\mathrm{.}53$ weeks. $($Round your response to two decimal$$ places.$)$

Part $7$

$$f$)$ Using the standard normal tableLOADING...$,$ the probability that Mbeki Construction will finish the project in $40$ weeks or less is

$$

enter your response here. $($Enter as a probability and round your response to three decimal$$ places.$)$