Use the following scenario and data to answer questions $1-10.$

West State University is planning a holiday basketball tournament. The activities along with their predecessors have been identified and three points rime estimates have been made, as shown in the following table:

In order to answer the following questions, you may use the following table to compute the expected value and the variance of the time needed by each activity.

$\backslash$table$[[$Activity$,$Immediate Predecessor$($s$),$Optimistic $($a$),$Most likely $($m$),$Pessimistic $($b$),$Mean $()$ Variance $({}^2)$