Questions: Assume that a randomly selected subject is given a bone density test. Those test scores are normally distribu mean of 0 and a standard deviation of 1. Draw a graph and find the probability of a bone density test score gr -1.57.

Solution Steps

The problem involves a normally distributed variable with a mean of 0 and a standard deviation of 1. We need to find the probability of a bone density test score being less than -1.57 and identify the correct graph that represents this probability.

The correct graph should show the area under the normal distribution curve to the left of -1.57 shaded, as we are interested in the probability of the score being less than -1.57.

• Graph A: Shows the area to the left of -1.57 shaded.
• Graph B: Shows the area to the left of -1.57 and to the right of 1.57 shaded.
• Graph C: Shows the area between -1.57 and 1.57 shaded.
• Graph D: Shows the area to the right of -1.57 shaded.

Final Answer