The expected completion time of a project is 40 weeks and the variance of its critical path activities is 9. what is the project completion time with a 75% certainty?

Respuesta :

Answer:

42 weeks.

Explanation:

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The project completion time with a 75 percent certainty is 42 weeks.  

Further Explanation:

Given information:

Expected completion time of a project = 40 weeks

The variance of its critical path activities = 9  

Computation of the project completion time with a 75% certainty:

Refer to the normal distribution table, the value of z is taken on 0.75 which is 0.67.  

The standard deviation of its critical path activities = √variance

                          = √9

               = 3

Expected time = 40 weeks

Project completion time with 75% certainty = Expected time + Z-value × Standard deviation  

               = 40 + 0.67× 3

               = 40 + 2.01

               = 42.01 weeks

If the project has a certainty of 75 percent, then the project is completed with in 42 weeks. If the project has a certainty of 100 percent, then the project is completed with in 40 weeks.  

Critical path:

The critical path refers to assigning the different jobs in a way to complete the whole project in minimum time. As the time duration of the project is minimum, the cost for the project is also minimum.  

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Answer details:

Grade: Middle School

Subject: Business

Chapter: Critical path

Keywords: expected completion, time of a project, 40 weeks, variance, critical path activities, 75% certainty, completion time, time duration, minimum, expected time, z-value, standard deviation, normal distribution.