Given the following project activity table:

Activity Duration Dependency

A $8$

B $6$ A

C $4$ A

D $2$ A

E $9$ B

F $3$ B

G $6$ C

H $2$ E$,$F

I $4$ F$,$G

J $1$ D$,$H$,$I

$1)$ What is the critical path? $($Enter the capital letters without spaces or punctuation$)$

$2)$ What is the length of the project? $($Enter no decimal places$)$

$3)$ What is the slack of activity D$?($Enter no decimal places$)$

$4)$ What is the Late Start of activity F$?($Enter no decimal places$)$

Given the following additional duration data for this project:

Activity Best Case Most Likely Worst Case

A $588$

B $369$

C $345$

D $224$

E $5910$

F $235$

G $469$

H $124$

I $245$

J $113$

$5)$ What is the expected duration of activity F$?($enter $2$ decimal places$)$

$6)$ What is the standard deviation of activity C$?($enter $2$ decimal places $-$ if it is less than one, enter the zero and the decimal point$)$

$7)$ What is the standard deviation of the project? $($enter $2$ decimal places $-$ if it is less than one, enter the zero and the decimal point$)$

$8)$ Assuming the expected duration of the project is $23\mathrm{.}7$ and given the following z table, what is the probability the project will be finished by the original most likely time? $($enter it as a decimal $-$ with $2$ decimal places $-$ enter the zero and the decimal point$)$

z value P$($Z$<=$z$)$ Z value P$($Z$<=$z$)$

$-3\mathrm{.}00\mathrm{.}0010\mathrm{.}00\mathrm{.}500$

$-2\mathrm{.}50\mathrm{.}0060\mathrm{.}50\mathrm{.}692$

$-2\mathrm{.}00\mathrm{.}0231\mathrm{.}00\mathrm{.}841$

$-1\mathrm{.}50\mathrm{.}0671\mathrm{.}50\mathrm{.}933$

$-1\mathrm{.}00\mathrm{.}1592\mathrm{.}00\mathrm{.}977$

$-0\mathrm{.}50\mathrm{.}3092\mathrm{.}50\mathrm{.}992$

$3\mathrm{.}00\mathrm{.}999$