A health conscious student faithfully wears a device that tracks his steps. Suppose that the distribution of the number of steps he takes is normally distributed with a mean of 10,000 and a standard deviation of 1,500 steps. What percent of the time does he exceed 13,000 steps?
A)2.28%
B)5.0%
C)95%
D)97.72%

Question

Quizplus · Accepted Answer

Using the properties of the normal distribution, a Z-score can be calculated for 13,000 steps: Z = (13,000 - 10,000) / 1,500 = 2. The probability of a Z-score greater than 2 is approximately 2.28%.

A Health Conscious Student Faithfully Wears a Device That Tracks