What is the minimum expected time in which this project can be completed?

The critical path is A$-$C$-$D$-$E$-$F$-$J$-$K given $37$ weeks, as shown in Question $1.$

Minimum Expected Time $=$ Critical path $-$ Maximum time reduction on critical path

Minimum Expected Time $=37-0-1-1-1-1-(-1)-1=33$ weeks

Therefore, the minimum expected time in which this project can be completed is $33$ weeks.

The probability that the project can be completed within $33$ weeks is