$[30$ points$]$ Activities' optimistic $($a$),$ most likely $($m$),$ and pessimistic $($b$)$ times in weeks for a

small project are shown in the table below:

$*$See image provided

a$.[10$ points$]$ Draw the network and show the forward pass $($ES and EF$)$ and calculate the Total

Expected Project Duration TE$?.$

b$.[4$ points$]$ What is the probability of completing the project in $33$ weeks?

c$.[4$ points$]$ Calculate the number of weeks to complete the project based on a $42\%$

probability.

d$.[4$ points$]$ What is the $\%$ of risk associated with an assumed completion time of $28$

weeks?

e$.[4$ points$]$ What is the optimistic completion time for the project?

f$.[4$ points$]$ What is the pessimistic completion time for the project? $3)[30$ points$]$ Activities' optimistic $($a$),$ most likely $(\backslash (\backslash$boldsymbol$\{$m$\}\backslash )),$ and pessimistic $($b$)$ times in weeks for a small project are shown in the table below:

a$.[10$ points$]$ Draw the network and show the forward pass $($ES and EF$)$ and calculate the Total Expected Project Duration $\backslash (\backslash$boldsymbol$\{$T$\}\_\{\backslash$boldsymbol$\{$E$\}\}\backslash )?$

b$.[4$ points$]$ What is the probability of completing the project in $33$ weeks?

c$.[4$ points$]$ Calculate the number of weeks to complete the project based on a $\backslash (42\backslash \%\backslash )$ probability.

d$.[4$ points$]$ What is the $\backslash (\backslash \%\backslash )$ of risk associated with an assumed completion time of $28$ weeks?

e$.[4$ points$]$ What is the optimistic completion time for the project?

f$.[4$ points$]$ What is the pessimistic completion time for the project?