question_answer

For the PERT network shown in the given figure, the probability of completing the project in 27 days is?

A) 0.841               

B) 0.919              

C) 0,964               

D) 0.977    

Correct Answer: A

Solution :

Critical path: \[1-2-4-5\] Critical time = 23 days Standard deviation,             \[\sigma =\sqrt{{{2}^{2}}+(2.8)+{{2}^{2}}}\] = 3.98 \[z=\frac{27-23}{3.98}=1\] For z = 1, area under the normal distribution curve = 0.8413 Probability of completing the project =0.841