Given the project activity table below:$$Activity Duration$($weeks$)$ Dependency$$A $8$B $4$C $3$D $3$ A$$E $1$ C$$F $7$ C$$G $5$ D$$H $6$ B$,$D$,$E$$I $6$ E$,$F$$J $6$ H$$K $5$ G$,$I,J$$a$)$ Draw a project network from the table above $(12$ marks$)$b$)$i$.$ What activity$($s$)$ is a burst activity? $(1$ mark$)$ii$.$ What activity$($s$)$ is a merge activity? $(1$ mark$)$iii$.$ What is the length of the project? $(1$ mark$)$iv$.$ What is the critical path? $(1$ mark$)$c$)$ Draw the Gantt chart $(9$ marks$)$d$)$ Build the project network using expected activity times based on the new table below $(8$ marks$)$e$)$ What would be the expected length of the project? $(1$ mark$)$f$)$ What would be the project standard deviation? $(2$ marks$)?$g$)$ Using a z$-$table $($one can be found here: https:$//$statisticsbyjim$.$com$/$hypothesis$-$testing$/$z$-$table$/),$ what$$is the probability that the project can be completed in $28$ weeks? $(4$ marks$)$