ing: $4$:$56$:$39$

The following table shows estimates of activity times $($in weeks$)$ for a project:

$\backslash$table$[[$Activity$,\backslash$table$[[$Optimistic$],[$Time$]],\backslash$table$[[$Most Probable$],[$Time$]],\backslash$table$[[$Pessimistic$],[$Time$]]],[$A$,2,5,8],[$B$,3,4\mathrm{.}5,9],[$C$,5,6\mathrm{.}5,11],[$D$,6,8,10],[$E$,7,8,9],[$F$,5,6,7],[$G$,5\mathrm{.}5,6\mathrm{.}5,10\mathrm{.}5]]$

Suppose that the critical path is A$-$C$-$D$-$E$-$G$.$ Use Appendix A to answer the questions. Do not round intermediate calculations. Round your answers to three decimal places.

a$.$ What is the probability that the project will be completed within $36$ weeks?

$$

b$.$ What is the probability that the project will be completed within $33$ weeks?

$$

c$.$ What is the probability that the project will be completed in more than $34$ weeks?

$$

d$.$ What is the probability that the project will be completed in $35$ weeks?

$$