What is the probability that the critical path for this project will be completed within 52 weeks?
A)0.1554
B)0.3108
C)0.3466
D)0.6554
E)0.8277

Question

Quizplus · Accepted Answer

We can use the normal distribution to calculate the probability. 
The mean of completion time for the critical path is 50.6 weeks and the standard deviation is 5.5 weeks. 
We standardize the value of 52 weeks using the formula: z = (X - μ) / σ
z = (52 - 50.6) / 5.5 = 0.2545
Looking up the area under the standard normal curve for z = 0.2545, we get 0.3981
Therefore, the probability that the critical path will be completed within 52 weeks is 0.5 + 0.3981 = 0.8981, which is closest to 0.6554 (answer choice D).

What Is the Probability That the Critical Path for This