The time for a professor to grade a homework in statistics is normally distributed with a mean of 12.6 minutes and a standard deviation of 2.5 minutes.What is the probability that randomly selected homework will require less than 16 minutes to grade?
A) 0.1401
B) 0.5910
C) 0.7734
D) 0.9131

Question

Quizplus · Accepted Answer

To find the probability, we calculate the Z-score: Z = (X - μ) / σ = (16 - 12.6) / 2.5 = 1.36. Using a standard normal distribution table, the probability corresponding to Z = 1.36 is approximately 0.9131.

The Time for a Professor to Grade a Homework in Statistics