Exercise to calculate the delivery date of a project for a probabilityProbability Calculator - PERT Method
It is required to calculate The time where the project will be completed on schedule with a probability of 0.9 according to the following data:
- Expected Project Time (TE)
- 36.3333 days
- Project Variance (σ2)
- Exercise to calculate the delivery date of a project for a probabilityYou have a project with an expected completion time of 36.333 days and a variance of 5.2221. What delivery date gives the project a 90% probability of on-time completion?
The following are the detailed calculations and graphs to obtain The time according to the data provided:
The PERT Method is based on two assumptions:
- Project completion times follow a normal probability distribution.
- The times of the activities are statistically independent.
From these assumptions, the normal distribution curve (Gaussian bell) is used to represent the project completion dates. This distribution will indicate that the project has a 50% probability of finishing before the Expected Time (TE = 36.3333 days) and a 50% probability of exceeding the Expected Time.
To calculate The time where the project will be completed on schedule with a probability of 0.9 we will do the following:
- T: Due date to be evaluated.
- σ: Standard Deviation of the Project. It is obtained from the square root of the Variance.
Replacing the values we would have:
For a probability of 0.9 the value of Z is 1.2816. Therefore:
Note: The normal distribution table is used to calculate the Z value..
Within 39.2619 days, there is a 0.9 probability of completing the project on time.
Learn with step-by-step explanations
At PM Calculators we strive to help you overcome those tricky subjects in an easier way.
With access to our membership you will have access to 13 applications to learn projects, linear programming, statistics, among others.
What calculators are included?
Critical Path PERT and CPM
Linear Programming Methods
Break-even and more
Purchase our monthly subscription from