Fill in the table below

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|$c$|$l$|\}$

$\backslash$hline Activity & Optimistic & $\backslash$begin$\{$tabular$\}\{$c$\}$

Most $\backslash \backslash$

Likely

$\backslash$end$\{$tabular$\}$ & Pessimistic & $\backslash$begin$\{$tabular$\}\{$c$\}$

Expected $\backslash \backslash$

Duration $\backslash \backslash$

$($Te$)$

$\backslash$end$\{$tabular$\}$ & Variance $\backslash \backslash$

$\backslash$hline A & $17$ & $29$ & $47$ & & $\backslash \backslash$

$\backslash$hline B & $6$ & $12$ & $24$ & & $\backslash \backslash$

$\backslash$hline C & $16$ & $19$ & $28$ & & $\backslash \backslash$

$\backslash$hline D & $13$ & $16$ & $19$ & & $\backslash \backslash$

$\backslash$hline E & $2$ & $5$ & $14$ & & $\backslash \backslash$

$\backslash$hline F & $2$ & $5$ & $8$ & & $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

$(6$ Marks$)$

Determine the critical path using Te

$(1$ Mark$)$

Use the critical path information to determine:

$-$ Expected Project Completion Date $($T$\_$E$)=$

$-\backslash (\backslash$quad $\backslash )$ Project Variance $\backslash (\backslash$sigma$^\{2\}=\backslash )$