$1.$construct a PERT network from the image,$($make sure you have the correct network before proceeding to the next sections$)$

$2.$by using ES$,$ EF$,$ LF$,$ LS$,$find the slack of each activity and the critical path

$3.$find the completion time and the standard deviation for the project $-$ round off the standard deviation to the nearest hundredth: two decimal places

$4.$what is the completion time at $99\%$ confidence level

$5.$what is the likelihood of this project being completed in more than $14$ days

$6.$between $11$ and $13$ days?