A project being analyzed by PERT has $38$ activities, $16$ of which are on the critical path. The estimated time along the critical path is $90$ days with a project variance of $20.$

What due date will give the project a $0\mathrm{.}85$ probability of completion? Select the range that includes the corresponding completion time in days.

a$)$ between $100\mathrm{.}5$ days and $105\mathrm{.}5$ days

b$)$ between $90$ days and $95\mathrm{.}5$ days

c$)$ between $95\mathrm{.}5$ days and $100\mathrm{.}5$ days

d$)$ more than $105\mathrm{.}5$ days