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 P5​, the...

A symmetric bell-shaped curve is plotted over a horizontal x-scale. A vertical line segment runs from the scale to the curve at labeled coordinate P subscript 5, which is to the left of the curve’s center and peak; the segment’s height is approximately 25 percent of the height of the curve at its peak. The area under the curve to the left of the vertical line is shaded.

A symmetric bell-shaped curve is plotted over a horizontal x-scale. A vertical line segment runs from the scale to the curve at labeled coordinate P subscript 5, which is to the left of the curve’s center and peak; the segment’s height is approximately 25 percent of the height of the curve at its peak. The area under the curve to the right of the vertical line is shaded.

A symmetric bell-shaped curve is plotted over a horizontal x-scale. A vertical line segment runs from the scale to the curve at labeled coordinate P subscript 5, which is to the right of the curve’s center and peak; the segment’s height is approximately 25 percent of the height of the curve at its peak. The area under the curve to the right of the vertical line is shaded.

A symmetric bell-shaped curve is plotted over a horizontal x-scale. A vertical line segment runs from the scale to the curve at labeled coordinate P subscript 5, which is to the right of the curve’s center and peak; the segment’s height is approximately 25 percent of the height of the curve at its peak. The area under the curve to the left of the vertical line is shaded.