Data Collection Project. Management Decision Systems $($MDS$)$ is a consulting company that specializes in the development of decision support systems. MDS has a four$-$person team working on a current project with a small company to set up a system that scrapes data from a collection of websites and then automatically generates a report for management on a daily basis. LO $1,2,3,4$

$\backslash$table$[[,,,$Time $($Weeks$)],[$Activity$,$Description,$\backslash$table$[[$Immediate$],[$Predecessor$]],$Optimistic,Most Probable,Pessimistic$],[$A$,$Report generation,$-,1,7,11],[$B$,$Web scraping,$-,3,8,10],[$C$,$Testing,A$,$ B$,1,1,1]]$

a$.$ Construct the project network.

b$.$ Based solely on the critical path, estimate the probability that the project will be complete within $10$ weeks.

c$.$ Using all paths through project network, estimate the probability that the project will be complete within $10$ weeks.

d$.$ Should you use the estimate in $($b$)$ or $($c$)?$