Using the PERT method review the following data for a project that should be scheduled using CPM:

IMMEDIATE PREDECESSORS TIMES $($DAYS$)$

ACTIVITY a m b

A $147$

B $3510$

C A $258$

D A $4611$

E B $123$

F C$,$D $357$

G D$,$E $126$

H F$,$G $256$

b$.$ What is the critical path?

multiple choice

A$-$C$-$F$-$H

A$-$D$-$G$-$H

A$-$D$-$F$-$H

B$-$E$-$G$-$H

c$.$ What is the expected project completion time? $($Round your answer to $3$ decimal places.$)$

Project completion time

days

d$.$ What is the probability of completing this project within $22$ days? $($Do not round intermediate calculations. Round your answer to $4$ decimal places.$)$