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Question $14$

A gentleman farmer maniacally works on academic projects to raise funds for his true passion, farming. He has identified seven tasks and developed three time estimates $($all in days$)$ of the next big project on the farm, replacing the fence at the comedy pasture. Tasks, precedence requirements, and time estimates are shown in the table. What is the standard deviation of the project's critical path?

$\backslash$table$[[$Activity$,$Optimistic time,Most Likely time,Pessimistic time,Predecessor$],[$Corner Posts,$4,5,6,-],[$String Line,$7,8,9,-],[$Dig Holes,$10,12,14,$Corner Posts$],[$Plant Posts,$11,14,17,$String Line$],[$Weld Top Bar,$8,111,14.,$String Line$],[$Paint$,9,11,13,$Dig Holes, Plant Posts$],[$Tack Wire,$9,12,16,$Weld Top Bar$]]$

$1\mathrm{.}75$ days

$1\mathrm{.}56$ days