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 -1.32 and draw a sketch of the region. Sketch the region. Choose the correct graph below. OA. -1.32 1.32 5 B. The probability is (Round to four decimal nlaces as needed 1.32 O C. -1.32 OD. -1.32 OOG

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Problem:**

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. Find the probability that a given score is less than -1.32 and draw a sketch of the region.

**Task:**

Sketch the region. Choose the correct graph below.

**Diagrams:**

- **Graph A:**
  - Displays a normal distribution curve.
  - The shaded region is to the left of the score -1.32, indicating the area representing the probability of scoring less than -1.32.

- **Graph B:**
  - Displays a normal distribution curve.
  - The shaded region is to the right of the score 1.32, indicating a different probability calculation.

- **Graph C:**
  - Displays a normal distribution curve.
  - The shaded region is to the right of the score -1.32, which is not the desired region.

- **Graph D:**
  - Displays a normal distribution curve.
  - The shaded region covers scores greater than -1.32.

**Correct Choice:**
- Graph A is the appropriate representation as it correctly shows the shaded region for scores less than -1.32.

**Calculation:**
- The probability is calculated using the z-score table or a statistical software tool.
- (Round to four decimal places as needed.)
Transcribed Image Text:**Problem:** 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. Find the probability that a given score is less than -1.32 and draw a sketch of the region. **Task:** Sketch the region. Choose the correct graph below. **Diagrams:** - **Graph A:** - Displays a normal distribution curve. - The shaded region is to the left of the score -1.32, indicating the area representing the probability of scoring less than -1.32. - **Graph B:** - Displays a normal distribution curve. - The shaded region is to the right of the score 1.32, indicating a different probability calculation. - **Graph C:** - Displays a normal distribution curve. - The shaded region is to the right of the score -1.32, which is not the desired region. - **Graph D:** - Displays a normal distribution curve. - The shaded region covers scores greater than -1.32. **Correct Choice:** - Graph A is the appropriate representation as it correctly shows the shaded region for scores less than -1.32. **Calculation:** - The probability is calculated using the z-score table or a statistical software tool. - (Round to four decimal places as needed.)
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