\begin{tabular}{ccc} Activity & Immediate Predecessor & Estimated Times (weeks) \\ \hline A & & 246 \\ D & A & 6810 \\ E & D & 7912 \\ H & E & 235 \\ F & A & 348 \\ G & F & 579 \end{tabular} \begin{tabular}{ccc} Activity & Immediate Predecessor & Estimated Times (weeks) \\ \hline B & & 223 \\ I & B & 236 \\ J & I & 345 \\ K & J & 458 \\ C & & 5812 \\ M & C & 111 \\ N & M & 6711 \\ O & N & 8913 \\ End & H, G, K, O & \end{tabular} a. Construct a network diagram. You can use either AOA or AON (see [\ Example 5). b. If the project is finished within 26 weeks of its start, the project manager will receive a bonus of $1,000; and if the project is finished within 27 weeks of its start, the bonus will be $500. Find the probability of each bonus