$(5$ points$)$ Step $2$: Suppose project sponsors and stakeholders put pressure on the project team and they modify their plans and estimates to a more optimistic estimate. The new plan is to finish the project in $8$ weeks instead of $10$ weeks $($now$,$ each critical path is $8$ weeks$),$ but they believe the estimates are likely to be $25\%$ early or on$-$time $($and $75\%$ likely to be late$).$ Now, what is the probability that the project will be late?b$.(5$ points$)$ Step $2$: Suppose project sponsors and stakeholders put pressure on the

project team and they modify their plans and estimates to a more optimistic estimate.

The new plan is to finish the project in $8$ weeks instead of $10$ weeks $($now$,$ each critical

path is $8$ weeks$),$ but they believe the estimates are likely to be $25\%$ early or on$-$time

$($and $75\%$ likely to be late$).$ Now, what is the probability that the project will be late?

A: