Question

If the expected time along the critical path of a project is 27 weeks and the standard deviation along it is 6 weeks, the probability of completing the project within 21 weeks is

Answer 1

Answer:

In PERT, the three time estimates are used to find the expected time to ... CP represents activity on critical path: 1. .... (c) Find the probability of completing the project in 32 weeks

Answer 2

Answer:

The probability of completing the project within 21 weeks is 15.87%

Step-by-step explanation:

• Critical path is the longest path of the project activities. The delay in any activity in critical path can delay the project.
• The given question is solved by the use of standard normal distribution.
• Expected time of the project is 27 weeks.
• The project completition time is 21 weeks.
• The standard deviation of the path is 6 weeks .
• The value of the z used in normal distribution is given by

       $z=\frac{x-mean}{\sigma}$

       $z=\frac{21-27}{6}\\z=-1$

• At z =-1, the probability from the standard normal curve is 15.87%