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 0. Sketch the region. Choose the correct graph below. OA. OB. OC. D. The probability is (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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**Educational Content on Normal Distribution and Probability**

**Problem Statement:**

Assume that a randomly selected subject is given a bone density test. These 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 0.

**Instructions:**

Sketch the region. Choose the correct graph below.

**Options:**

- **Option A:** A bell curve with the shaded region to the right of 0.
- **Option B:** A bell curve with the shaded region to the left of 0.
- **Option C:** A bell curve not shaded, with the line marked at 0.
- **Option D (Correct selection):** A bell curve with the shaded region to the right of 0 indicating the probability of obtaining a score greater than 0.

**Task:**

Calculate the probability and enter your answer. (Round to four decimal places as needed.)

**Graph Interpretation:**

The curve shown in Option D is a standard normal distribution (bell curve) with a mean of 0. The area under the curve to the right of the mean (0) is the probability that a randomly selected bone density test score will be greater than 0.

This problem asks for the shaded region to the right of 0, which is approximately 50% of the data in a normal distribution centered at 0. Therefore, the probability of a score greater than 0 is 0.5 or 50%.

**Action:**

Enter your answer in the answer box and then click "Check Answer" for verification.
Transcribed Image Text:**Educational Content on Normal Distribution and Probability** **Problem Statement:** Assume that a randomly selected subject is given a bone density test. These 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 0. **Instructions:** Sketch the region. Choose the correct graph below. **Options:** - **Option A:** A bell curve with the shaded region to the right of 0. - **Option B:** A bell curve with the shaded region to the left of 0. - **Option C:** A bell curve not shaded, with the line marked at 0. - **Option D (Correct selection):** A bell curve with the shaded region to the right of 0 indicating the probability of obtaining a score greater than 0. **Task:** Calculate the probability and enter your answer. (Round to four decimal places as needed.) **Graph Interpretation:** The curve shown in Option D is a standard normal distribution (bell curve) with a mean of 0. The area under the curve to the right of the mean (0) is the probability that a randomly selected bone density test score will be greater than 0. This problem asks for the shaded region to the right of 0, which is approximately 50% of the data in a normal distribution centered at 0. Therefore, the probability of a score greater than 0 is 0.5 or 50%. **Action:** Enter your answer in the answer box and then click "Check Answer" for verification.
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