$2\mathrm{.}1$ 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.