ssume a member is selected at random from the population represented by the graph. Find the probability that the nember selected at random is from the shaded area of the graph. Assume the variable x is normally distributed. SAT Critical Reading Scores 200

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### Probability and Normal Distribution: SAT Critical Reading Scores

**Problem Statement:**

Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded area of the graph. Assume the variable \( x \) is normally distributed.

**Graph Explanation:**

The graph titled "SAT Critical Reading Scores" shows a normal distribution curve for SAT scores. It is centered around the mean score, \( \mu = 513 \), with a standard deviation of \( \sigma = 115 \).

- The x-axis is labeled as "Score," with scores ranging from 200 to 800.
- The shaded area under the curve is marked between 200 and 400.
  
**Objective:**

Determine the probability that a randomly selected score falls within the shaded region, which is from 200 to less than 400.

**Calculation:**

Enter the probability value in the provided answer box, rounding to four decimal places as needed.

**Instructions:**

Enter your answer in the answer box and then click "Check Answer."

---

**Note:** This task involves understanding the properties of normal distribution and calculating the probability for a specified range.
Transcribed Image Text:### Probability and Normal Distribution: SAT Critical Reading Scores **Problem Statement:** Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded area of the graph. Assume the variable \( x \) is normally distributed. **Graph Explanation:** The graph titled "SAT Critical Reading Scores" shows a normal distribution curve for SAT scores. It is centered around the mean score, \( \mu = 513 \), with a standard deviation of \( \sigma = 115 \). - The x-axis is labeled as "Score," with scores ranging from 200 to 800. - The shaded area under the curve is marked between 200 and 400. **Objective:** Determine the probability that a randomly selected score falls within the shaded region, which is from 200 to less than 400. **Calculation:** Enter the probability value in the provided answer box, rounding to four decimal places as needed. **Instructions:** Enter your answer in the answer box and then click "Check Answer." --- **Note:** This task involves understanding the properties of normal distribution and calculating the probability for a specified range.
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