Answer:
The standard deviation on the critical path = 0.834
Step-by-step explanation:
Variance of activity A ([tex]V_{1}[/tex]) = 0.33
Variance of activity B ([tex]V_{2}[/tex]) = 0.67
Variance of activity C ([tex]V_{3}[/tex]) = 0.33
Variance of activity D ([tex]V_{4}[/tex]) = 0.17
Thus the standard deviation on the critical path ([tex]\alpha ^{2}[/tex]) = [tex]V_{1} ^{2}[/tex] + [tex]V^2_{2}[/tex] + [tex]V^2_{3}[/tex] + [tex]V^2_{4}[/tex]
[tex]\alpha ^{2}[/tex] = [tex]0.33^{2}[/tex] + [tex]0.67^{2}[/tex] + [tex]0.33^{2}[/tex] + [tex]0.17^{2}[/tex]
[tex]\alpha ^{2}[/tex] = 0.6956
[tex]\alpha[/tex] = 0.834
The standard deviation on the critical path = 0.834
