Joe used a project management software package and has determined the following results for a given project.:
Expected completion time of the project = 22 days
Variance of project completion time = 2.77
What is the probability of completing the project over 20 days?
A) 0.3849
B) 0.8849
C) 0.1151
D) 0.7642

Question

Quizplus · Accepted Answer

To find the probability of completing the project over 20 days, we need to use the Z-score formula:

Z = (X - μ) / σ

Where X is the number of days we want to find the probability for (in this case, 20), μ is the expected completion time (22), and σ is the square root of the variance (1.665).

Substituting these values, we get:

Z = (20 - 22) / 1.665 = -1.20

Looking up the Z-score in a standard normal distribution table, we find the probability to be 0.8849, which is answer choice B.

Joe Used a Project Management Software Package and Has Determined