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A network of a PERT problem consists of the following list. Times are given in weeks.

$\backslash$table$[[$Activity$,$Preceding,Optimistic,Most Likely,Pessimistic$],[$A$,-,5,11,14],[$B$,-,3,3,9],[$C$,-,7,9,11],[$D$,$A$,$ B$,3,5,7],[$E$,$B$,4,6,11],[$F$,$C$,6,8,13],[$G$,$D$,$ E$,2,4,6],[$H$,$F$,3,3,9]]$

I. If the activities in the critical path are $C,F,$ and H $.$ Find the expected completion time of the entire duration of the project. The lettelr associated with the correct answer is

a$)12\mathrm{.}5$ weeks

b$)17\mathrm{.}5$ weeks

c$)21\mathrm{.}5$ weeks

d$)26\mathrm{.}5$ weeks

e$)$ None of the above

II$.$ If the activities in the critical path are $C,F,$ and H $.$ Find the standard deviation of the of the entire duration of the project. The letter associated with the correct answer is $$

a$)1\mathrm{.}36$

b$)1\mathrm{.}67$

c$)2\mathrm{.}13$

d$)2\mathrm{.}80$

e$)$ None of the above

III. Find the duration time of the project that provides a $80\%$ chance of on$-$time completion. The letter associated with the correct answer is

a$)22\mathrm{.}23$ weeks

b$)22\mathrm{.}90$ weeks

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a$)12\mathrm{.}5$ weeks

b$)17\mathrm{.}5$ weeks

c$)21\mathrm{.}5$ weeks

d$)26\mathrm{.}5$ weeks

e$)$ None of the above

II$.$ If the activities in the critical path are C$,$ F$,$ and H$.$ Find the standard deviation of the of the entire duration of the project. The letter associated with the correc answer is

a$)1\mathrm{.}36$

b$)1\mathrm{.}67$

c$)2\mathrm{.}13$

d$)2\mathrm{.}80$

e$)$ None of the above

III. Find the duration time of the project that provides a $80\%$ chance of on$-$time completion. The letter associated with the correct answer is

a$)22\mathrm{.}23$ weeks

b$)22\mathrm{.}90$ weeks

c$)23\mathrm{.}85$ weeks

d$)24\mathrm{.}64$ weeks

e$)$ None of the above

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