You are given the following project data:

If the PERT time estimates for each activity are defined as

\[ \begin{aligned} & a=t-0.3 t \\ & m=t \\ & b=t+\sqrt{t} \end{aligned} \]
find a deadline, \(T_{\mathrm{d}}\), such that there is 0.85 probability of finishing the project on or before the deadline. Carry all computations to four decimal places.

Activity Predecessor Estimated CPM Duration, t (Days) A B 652415 C D A, B E F B C 6 CH G B, F 1 H D, E 7