Fill in the table below with the three point estimate $($E$)$ and variance $($V$)$ for each task.

E$=$a$+4$m$+$b$6$

V$=($b$$a$6)2$

Task

Predecessors

a

m

b

E

V

A

none

$2$

$5$

$8$

Answer $1$ Question $1$

Answer $2$ Question $1$

B

A

$1$

$2$

$9$

Answer $3$ Question $1$

Answer $4$ Question $1$

C

A

$0\mathrm{.}25$

$0\mathrm{.}5$

$3\mathrm{.}75$

Answer $5$ Question $1$

Answer $6$ Question $1$

D

B

$1$

$1$

$7$

Answer $7$ Question $1$

Answer $8$ Question $1$

E

B and C

$1$

$2$

$9$

Answer $9$ Question $1$

Answer $10$ Question $1$

F

D and E

$1$

$3$

$11$

Answer $11$ Question $1$

Answer $12$ Question $1$

What is the critical path?

Multiple choice $1$ Question $1$

$1.$ ABCD

$2.$ ABDF

$3.$ ABEF

$4.$ ABCF

$5.$ ACDF

$4.$ ACEF

What is the duration of the project? Answer $13$ Question $1$

What is the variance of the duration of the project? Answer $14$ Question $1$

Suppose we are interested in calculating the probability that the project will be completed in $14$ time units.

What Z value would you compute? Answer $15$ Question $1$

Z$=$X$$E$$V$$

$($Only sum the critical path values for E and V$)$

what would be the probability? Answer $16$ Question $1$