Suppose the time it takes for a purchasing agent to complete an online ordering process is normally distributed with a mean of 8 minutes and a standard deviation of 2 minutes.What is the probability that it takes longer than 11 minutes for the purchasing agent to complete the process?
A)0.9332
B)0.4332
C)0.0668
D)0.5668
E)none of the above

Question

Quizplus · Accepted Answer

To find the probability that it takes longer than 11 minutes, we calculate the Z-score for 11 minutes using the formula Z = (X - μ) / σ, where X is 11, μ is 8, and σ is 2. This gives us Z = (11 - 8) / 2 = 1.5. Looking up the Z-score of 1.5 in the standard normal distribution table, we find the area to the left of Z is approximately 0.9332. Since we want the area to the right (the probability of taking longer than 11 minutes), we subtract this from 1, giving 1 - 0.9332 = 0.0668.

Suppose the Time It Takes for a Purchasing Agent to Complete