Data regarding the activities for a project are presented below. The times are in weeks. The critical path for this project is A $-$ D $-$ H $-$ I $-$ J $-$ K$.$

Answer in the Blue Sheet Below

$($You must show all formulas, calculations, and "highlight" corrrect Answers$)$

A$.$ Determine the standard deviation of the critical path. Activity Optimistic Time Most Likely Time Pessimistic Time To determine the standard deviation of the critical path:

A $7914$ Calculate the variance for each activity using the formula$$

B $228$ variance $=($P$-$O$)^2+$

C $81216$

D $3510$

E $468$

F $6810$

G $234$

H $228$

I $6816$

J $4614$

K $225$

B$.$ Determine the probability of completing the project in $38$ weeks or less.

C$.$ What is the probability of completing the project in $32$ weeks or