Consider a project that has an expected completion time of 50 weeks and a standard deviation of 9 weeks.What is the probability that the project is finished in 57 weeks or fewer? (Round to two decimals.)
A)0.68
B)0.78
C)0.22
D)0.32

Question

Quizplus · Accepted Answer

First, we need to standardize the value of 57 weeks using the formula: 
z = (x - μ) / σ 
where 
x = 57 weeks (desired completion time) 
μ = 50 weeks (expected completion time) 
σ = 9 weeks (standard deviation)

z = (57 - 50) / 9 = 0.78

Next, we need to find the probability of z being less than or equal to 0.78 using a standard normal distribution table or calculator. From the table or calculator, we find that the probability is approximately 0.78.

Therefore, the answer is B, 0.78, as it represents the probability that the project is finished in 57 weeks or fewer.

Consider a Project That Has an Expected Completion Time of 50