A project manager for Durable Construction Co.is about to build a house involving the following six activities: What is the probability that the critical path for this project will be completed within 210 days?
A)0.5000
B)0.8413
C)0.9544
D)0.9772
E)0.9987

Question

A project manager for Durable Construction Co.is about to build a house involving the following six activities:  What is the probability that the critical path for this project will be completed within 210 days?
A)0.5000 
B)0.8413 
C)0.9544 
D)0.9772 
E)0.9987

Quizplus · Accepted Answer

To find the probability that the critical path for this project will be completed within 210 days, we need to calculate the z-score using the formula:
z = (x - μ) / σ
where x is the number of days (210), μ is the expected completion time of the critical path (194 days), and σ is the standard deviation of the critical path (8.1 days).

z = (210 - 194) / 8.1 = 1.9753

Using a standard normal distribution table or calculator, we can find that the probability of completing the critical path within 210 days is approximately 0.9772, which corresponds to the z-score of 1.9753.

Therefore, the best choice is D, with an explanation that we calculate the z-score using the formula and use a standard normal distribution table or calculator to find the probability.

A Project Manager for Durable Construction Co