Exercise $4$

Consider the project given in the next table. Find the probability that the project will be completed within $70$ and $80$ days.

$\backslash$table$[[$Activity$,$Duration $($days$),$Dependencies$],[\backslash$table$[[$Optimistic$],[($a$)]],\backslash$table$[[$Most likely$],[($m$)]],\backslash$table$[[$Pessimistic$],[($b$)]]],[10,16,22,-],[$B$,24,32,42,-],[$C$,22,32,40,$A$],[$D$,12,16,21,$B$],[$E$,20,25,35,$C$,$ D$],[$F$,13,16,19,$A$,$ B$]]$

What is the project expected duration $T_E$ and project standard deviation ${}_T?$

What is the probability that the project will be completed within $70$ days?

What is the probability that the project will not meet a deadline date of $70$ days?

What is the probability that the project will be completed within $80$ days?

What is the probability that the project will be completed between $70$ and $80$ days?

What is the project expected duration corresponding to $70\%$ assurance?

What is the project expected duration corresponding to $40\%$ assurance?