Problem $17-12$ 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. Use Table B$1$ and Table B$2.$ Immediate Predecessor Activity $|$A Estimated Times $($weeks$)2-4-66-8-107-9-122-3-53-4-85-7-92-2-32-3-63-4-54-5-85-8-121-1-16-7-118-9-13|$AHU End H$,$ G$,$ K$,$ O If the project is finished within $26$ weeks of its start, the project manager will receive a bonus of $$1,000$; and if the project is finished within $27$ weeks of its start, the bonus will be $$500.$ Find the probability of each bonus. $($Round Mean, Standard Deviation, z$-$value to $2$ decimal places and Probability to $4$ decimal places.$)$ Std$.$ Dev. Path a$-$d$-$e$-$h a$-$f$-$g b$-$i$-$j$-$k c$-$m$-$n$-$o Probability $($$$1,000)$ Probability $($$$500)$ O O