Question

assume that a randomly selected subject is given a bone density test. bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. draw a graph and find $p_{10}$, the 10th percentile. this is the bone density score separating the bottom 10% from the top 90%. which graph represents $p_{10}$? choose the correct graph below.

Explanation:

Step1: Understand the percentile concept

The 10th percentile ($P_{10}$) means that 10% of the data lies to the left of this value in a normal - distribution curve.

Step2: Analyze the normal - distribution graph

In a standard normal distribution (mean = 0, standard deviation = 1), the 10th percentile is a value on the left - hand side of the mean. The area under the curve to the left of $P_{10}$ is 0.10.

Answer:

B.