a$.(5$ points$)$ Step $1$: Activity sequences $$A$-$D$-$J$,$B$-$F$-$K$,$ and $$C$-$H$-$L$$ are critical paths $($please recall the definition of critical path$).$ The project manager does not want to disappoint the customer with late delivery. Therefore, his time duration estimates for each critical path is $10$ weeks, and he believes the probability of being on time or early for each critical path is $80\%($and $20\%$ likely to be late$).$ What is the probability that the project will finish before the deadline $($on$-$time$)?$a$.(5$ points$)$ Step $1$: Activity sequences $"$A$-$D$-$J$","$B$-$F$-$K$",$ and $"$C$-$H$-$L$"$ are critical paths

$($please recall the definition of critical path$).$ The project manager does not want to

disappoint the customer with late delivery. Therefore, his time duration estimates for

each critical path is $10$ weeks, and he believes the probability of being on time or early

for each critical path is $80\%($and $20\%$ likely to be late$).$ What is the probability that the

project will finish before the deadline $($on$-$time$)?$