Question

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. Draw a graph and find the probability of a bone density test score greater than negative 1.74. Sketch the region. Choose the correct graph below. A. -1.74 A symmetric bell-shaped curve is plotted over a horizontal axis. A vertical line segment runs from the horizontal axis to the curve at labeled coordinate negative 1.74, which is to the left of the curve’s center and peak. The area under the curve to the left of negative 1.74 is shaded. B. -1.74 A symmetric bell-shaped curve is plotted over a horizontal axis. A vertical line segment runs from the horizontal axis to the curve at labeled coordinate negative 1.74, which is to the left of the curve’s center and peak. The area under the curve to the right of negative 1.74 is shaded. Your answer is correct.C. 1.74 A symmetric bell-shaped curve is plotted over a horizontal axis. A vertical line segment runs from the horizontal axis to the curve at labeled coordinate 1.74, which is to the right of the curve’s center and peak. The area under the curve to the left of 1.74 is shaded. D. -1.74 1.74 A symmetric bell-shaped curve is plotted over a horizontal axis. Two vertical line segments run from the horizontal axis to the curve and are equidistant from the center and peak of the curve. One vertical line is at the labeled coordinate negative 1.74, which is to the left of the curve's center and peak. The other vertical line is at the labeled coordinate 1.74, which is to the right of the curve's center and peak. The area under the curve between 1.74 and negative 1.74 is shaded. The probability is nothing.

Answer 1

The normal distribution has a mean of 0 and a standard deviation of 1. This means, on a normal distribution curve, the bone density test score of a random subject will lie to the right of the mean if the test score is positive and will lie to the left of the mean if the test score is negative.

The probability of a bone density test score greater than -1.74 is

On the bell curve, the region to the right of negative -1.74 will give the required probability.

Option B is correct.

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