a$.$ Calculate the expected time and variance $($using the $95$ percent confidence level$)$ for each activity.

b$.$ Using the expected times, determine the critical path and time for completion. Draw network diagram.

c$.$ Calculate the probably that the project will finish in $60$ days. Calculate the probably of completing the project in $65$ days. Use $95\%$ confidence level for both.

d$.$ Management likes to fund projects that have an $85\%$ chance $($or probability$)$ of attaining the plan. How many days are required for that chance?

$\backslash$table$[[$Task$,$Pred.,$\backslash$table$[[$Optimistic$],[($days$)]],$Normal,Pessimistic$],[2,-,6,10,15],[3,2,19,14,20],[4,2,5,12,16],[5,3,14,20,30],[6,3,4,12,25,35],[7,4,16,26,24],[8,5,4,10,25],[9,6,7,9,12,15]]$