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 P20​, the 20th percentile. This is the bone density score separating the bottom 20% from the top 80%.       Question content area bottom Part 1 Which graph represents P20​? Choose the correct graph below.     A.             x P20         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 20, which is to the right of the curve’s center and peak; the segment’s height is approximately 70 percent of the height of the curve at its peak. The area under the curve to the right of the vertical line is shaded.   B.             x P20         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 20, which is to the right of the curve’s center and peak; the segment’s height is approximately 70 percent of the height of the curve at its peak. The area under the curve to the left of the vertical line is shaded.   C.               x P20         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 20, which is to the left of the curve’s center and peak; the segment’s height is approximately 70 percent of the height of the curve at its peak. The area under the curve to the left of the vertical line is shaded.   D.             x P20         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 20, which is to the left of the curve’s center and peak; the segment’s height is approximately 70 percent of the height of the curve at its peak. The area under the curve to the right of the vertical line is shaded. Part 2 The bone density score corresponding to P20 is enter your response here.

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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
P20​,
the
20th
percentile. This is the bone density score separating the bottom
20%
from the top 80%.
 
 
 

Question content area bottom

Part 1
Which graph represents
P20​?
Choose the correct graph below.
 
 
A.
 
 
 
 
 
 
x
P20
 
  •  
  •  
  •  
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 20, which is to the right of the curve’s center and peak; the segment’s height is approximately 70 percent of the height of the curve at its peak. The area under the curve to the right of the vertical line is shaded.
 
B.
 
 
 
 
 
 
x
P20
 
  •  
  •  
  •  
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 20, which is to the right of the curve’s center and peak; the segment’s height is approximately 70 percent of the height of the curve at its peak. The area under the curve to the left of the vertical line is shaded.
 
C.
 
 
 
 
 
 
 
x
P20
 
  •  
  •  
  •  
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 20, which is to the left of the curve’s center and peak; the segment’s height is approximately 70 percent of the height of the curve at its peak. The area under the curve to the left of the vertical line is shaded.
 
D.
 
 
 
 
 
 
x
P20
 
  •  
  •  
  •  
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 20, which is to the left of the curve’s center and peak; the segment’s height is approximately 70 percent of the height of the curve at its peak. The area under the curve to the right of the vertical line is shaded.
Part 2
The bone density score corresponding to
P20
is
enter your response here.
​(Round to two decimal places as​ needed.)
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