QUESTION TWO $[30]$

The estimated times for a project that you are working on is listed in the table below:

ACTIVITY PREDECESSOR MOST OPTIMISTIC

$($DAYS$)$

MOST LIKELY

$($DAYS$)$

MOST PESSIMISTIC

$($DAYS$)$

A $-6916$

B A $111520$

C A $2610$

D B $101215$

E B $256$

F C $4612$

G E;F $6914$

H D;E $3711$

I H;G $369$

$2\mathrm{.}1$ Using the PERT formula, calculate the time $($t$)$ value for each activity. Please round

off days i$.$e$.$ no decimal places. $(5)$

$2\mathrm{.}2$ Calculate the variance $($v$)$ for each activity. Please use $2$ decimal places. $(5)$

$2\mathrm{.}3$ Construct the network diagram $($Activity on Node $$ AON$).(15)$

$2\mathrm{.}4$ Calculate the probability of this project being completed in $55$ days. $(5)$

Answer requires a page count: six $(6)$ pages maximum.V