You may need to use the appropriate technology to answer this question.

Use the following network with activities and times estimated in days to answer the questions.

A project network with $13$ activities and $17$ directed arcs is shown.

Activity Start is connected to activity A$,$ to activity B$,$ and to activity C$.$

Activity A is connected to activity D$,$ to activity E$,$ and to activity F$.$

Activity B is connected to activity F$.$

Activity C is connected to activity G and to activity H$.$

Activity D is connected to activity K$.$

Activity E is connected to activity I.

Activity F is connected to activity I.

Activity G is connected to activity I.

Activity H is connected to activity J$.$

Activity I is connected to activity K$.$

Activity J is connected to activity K$.$

Activity K is connected to activity Finish.

Activity Finish has no arcs directed to other activities.

Activity Optimistic Most Probable Pessimistic

A $256$

B $137$

C $569$

D $51214$

E $345$

F $7811$

G $468$

H $368$

I $5712$

J $131415$

K $134$

$($a$)$

What are the critical path activities? $($Enter your answers as a comma$-$separated list.$)$

Incorrect: Your answer is incorrect.

$($b$)$

What is the expected time $($in days$)$ to complete the project?

Incorrect: Your answer is incorrect.

days

$($c$)$

Based only on the critical path, what is the probability the project will take more than $26$ days to complete? $($Round your answer to four decimal places.$)$