Quantitative Risk Analysis This assignment incorporates course content from Week $6$ & $7$ Probabilistic Approach to Scheduling Predecessor Given the activities from the following table, where all durations have been estimated in weeks, and all estimates are made with a $>99\%$ confidence level. Activity A Optimistic $-$ Most Likely Pessimistic $2$ B $-463$ C A $594$ D A $574$ E B$,$ C $6104$ F D $573$ G E $483$ Assignment $2$: $(10$ marks$)5$ a$)$ Identify the expected time $($te$)$ and variance for each activity. $(2$ marks$)$ b$)$ Draw the network diagram and identify the critical path and project duration. $(2$ marks$)$ c$)$ Identify the probability that the critical path will be completed within $23$ weeks. $(2$ marks$)$ d$)$ Repeat a$)$ and c$)$ if the estimates are made with a $90\%$ confidence level. $(4$ marks$)$ Quantitative Risk Analysis This assignment incorporates course content from Week $6\backslash$& $7$ Probabilistic Approach to Scheduling Given the activities from the following table, where all durations have been estimated in weeks, and all estimates are made with a $>99\backslash \%$ confidence level. $\backslash$begin$\{$tabular$\}\{|$l$|$l$|$l$|$l$|$l$|\}\backslash$hline Activity & Predecessor & Optimistic & Most Likely & Pessimistic $\backslash \backslash \backslash$hline A & $-$ & $2$ & $4$ & $6\backslash \backslash \backslash$hline B & $-$ & $3$ & $5$ & $9\backslash \backslash \backslash$hline C & A & $4$ & $5$ & $7\backslash \backslash \backslash$hline D & A & $4$ & $6$ & $10\backslash \backslash \backslash$hline E & B$,$ C & $4$ & $5$ & $7\backslash \backslash \backslash$hline F & D & $3$ & $4$ & $8\backslash \backslash \backslash$hline G & E & $3$ & $5$ & $8\backslash \backslash \backslash$hline $\backslash$end$\{$tabular$\}$ Assignment $2$: $(10$ marks$)$ a$)$ Identify the expected time $($te$)$ and variance for each activity. $(2$ marks$)$ b$)$ Draw the network diagram and identify the critical path and project duration. $(2$ marks$)$ c$)$ Identify the probability that the critical path will be completed within $23$ weeks. $(2$ marks$)$ d$)$ Repeat a$)$ and c$)$ if the estimates are made with a $\backslash (90\backslash \%\backslash )$ confidence level. $(4$ marks$)$ Note: The assignment must be submitted in a printer$-$friendly manner; formatted to one$-$page for a$),$ b$)$ and c$),$ and to one page for d$)$; include a page title, your name, and date submitted on each page. Submit the assignment as a single PDF file