Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score is less than negative 0.96 and draw a sketch of the region.
Sketch the region. Choose the correct graph below.
A.
-0.96
A symmetric bell-shaped curve is plotted over a horizontal scale. A vertical line runs from the scale to the curve at labeled coordinate negative 0.96, which is to the left of the curve’s center and peak. The area under the curve to the left of the vertical line is shaded.
B.
0.96
A symmetric bell-shaped curve is plotted over a horizontal scale. A vertical line runs from the scale to the curve at labeled coordinate 0.96, which is to the right of the curve’s center and peak. The area under the curve to the left of the vertical line is shaded.
C.
-0.96
A symmetric bell-shaped curve is plotted over a horizontal scale. A vertical line runs from the scale to the curve at labeled coordinate negative 0.96, which is to the left of the curve’s center and peak. The area under the curve to the right of the vertical line is shaded.
D.
0.96-0.96
A symmetric bell-shaped curve is plotted over a horizontal scale. Two vertical lines run from the scale to the curve and are equidistant from the center and peak of the curve. One vertical line is at the labeled coordinate negative 0.96, which is to the left of the curve's center and peak. The other vertical line is at the labeled coordinate 0.96, which is to the right of the curve's center and peak. The area under the curve between the vertical lines is shaded.
The probability is
The correct sketch would be:
-0.96
A symmetric bell-shaped curve is plotted over a horizontal scale. A vertical line runs from the scale to the curve at labeled coordinate negative 0.96, which is to the left of the curve’s center and peak. The area under the curve to the left of the vertical line is shaded.
Option A is correct.
Assume that a randomly selected subject is given a bone density test. Those test scores are...
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