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

We need to find the probability that it takes longer than 11 minutes. Using the z-score formula: 
z = (x - µ) / σ
where x = 11, µ = 8, and σ = 2
z = (11 - 8) / 2 = 1.5
Looking up the z-score in a standard normal distribution table, the probability of z-score being greater than 1.5 is 0.0668. Therefore, the probability that it takes longer than 11 minutes for the purchasing agent to complete the process is 0.0668.

Suppose the Time It Takes for a Purchasing Agent to Complete