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?
A)1.33 days
B)1.56 days
C)1.25 days
D)1.75 days

Question

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? 
A)1.33 days 
B)1.56 days 
C)1.25 days 
D)1.75 days

Quizplus · Accepted Answer

To find the standard deviation of the critical path, we need to first calculate the expected duration of the project and the variance of the critical path. 
Expected duration = 21.5 days (sum of expected durations of tasks on the critical path) 
Variance of critical path = 0.5^2 + 0.25^2 +0.25^2 = 0.1875 
Standard deviation of critical path = square root of variance = 0.433 approx. 1.56 days (rounded to the nearest hundredth)

A Gentleman Farmer Maniacally Works on Academic Projects to Raise