Excel please!$($Mod $7$ Q $12)2.$ A project manager has compiled a list of major activities that will be required to install a computer information system in her firm. The list includes estimated completion times for activities and precedence relationships. page $779$ a$.$ Construct a network diagram. You can use either AOA or AON $($see Example $5).$ b$.$ If the project is finished within $26$ weeks of its start, the project manager will receive a bonus of $\backslash (\backslash$$ $1,000\backslash )$; and if the project is finished within $27$ weeks of its start, the bonus will be $\backslash (\backslash$$ $500\backslash ).$ Find the probability of each bonus.