Suppose that the age of students at George Washington Elementary school is uniformly distributed between 6 and 10 years old. 36 randomly selected children from the school are asked their age. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - U( 6 10 8° oº Suppose that 37 children from the school are surveyed. Then the sampling distribution is b. What is the distribution of a? - N 8.5 X, 0.6667 x c. What is the probability that the average of 37 children will be between 8 and 8.6 years old? Hint:

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### Age Distribution of Students at George Washington Elementary School

Suppose that the age of students at George Washington Elementary school is uniformly distributed between 6 and 10 years old. 36 randomly selected children from the school are asked their age. Round all answers to 4 decimal places where possible.

#### Questions:

**a. What is the distribution of \(X\)?**
\[ X \sim U(6, 10) \]

**b. Suppose that 37 children from the school are surveyed. Then the sampling distribution is:**
\[ \bar{X} \sim N(8.5, 0.6667) \]

**c. What is the probability that the average of 37 children will be between 8 and 8.6 years old?**
\[ (\text{To be computed}) \]

#### Hint:
- [Hint](#)
- [Textbook Pages](#)

---
**Submit your answers by clicking the "Submit Question" button below.**
Transcribed Image Text:### Age Distribution of Students at George Washington Elementary School Suppose that the age of students at George Washington Elementary school is uniformly distributed between 6 and 10 years old. 36 randomly selected children from the school are asked their age. Round all answers to 4 decimal places where possible. #### Questions: **a. What is the distribution of \(X\)?** \[ X \sim U(6, 10) \] **b. Suppose that 37 children from the school are surveyed. Then the sampling distribution is:** \[ \bar{X} \sim N(8.5, 0.6667) \] **c. What is the probability that the average of 37 children will be between 8 and 8.6 years old?** \[ (\text{To be computed}) \] #### Hint: - [Hint](#) - [Textbook Pages](#) --- **Submit your answers by clicking the "Submit Question" button below.**
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