Gonskder he Aollomang Binamial disiribestrons.ahich cen be Well approchmaded a a ermal distringtian A) Binomial (n-1o,p_6$)

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### Topic: Approximating Binomial Distributions with a Normal Distribution

#### Mathematical Expressions and Annotations:

1. **Fundamental Trigonometric Expressions:**
   - \( e^{10} \)
   - \( \sin \)
   - \( \cos \)
   - \( \tan \)
 
2. **Fraction:**
   - \( \frac{58}{62} \)

3. **Equation:**
   - \( y + 82 - a \cdot 2x \)

4. **Textual Explanation:**
   - Consider the following Binomial distributions which can be well approximated by a Normal distribution:

     **a.** Binomial (\( n = 10, p = 0.5 \))

     **b.** Binomial (\( n = 60, p = 0.1 \))

     **c.** Binomial (\( n = 100, p = 0.5 \))

   - Fundamental Evaluations:
     - \( \cos(a2) \)

#### Diagram:

- There is a small triangular diagram towards the bottom right side labeled within the "Fundamental Evaluations" section. This could possibly represent some geometric relationship or a simple geometric shape used for clarity in the explanations provided.

This content aims to provide insight into how Binomial distributions approach a Normal distribution as illustrated through specific examples, and touches on some fundamental mathematics and trigonometry concepts.
Transcribed Image Text:### Topic: Approximating Binomial Distributions with a Normal Distribution #### Mathematical Expressions and Annotations: 1. **Fundamental Trigonometric Expressions:** - \( e^{10} \) - \( \sin \) - \( \cos \) - \( \tan \) 2. **Fraction:** - \( \frac{58}{62} \) 3. **Equation:** - \( y + 82 - a \cdot 2x \) 4. **Textual Explanation:** - Consider the following Binomial distributions which can be well approximated by a Normal distribution: **a.** Binomial (\( n = 10, p = 0.5 \)) **b.** Binomial (\( n = 60, p = 0.1 \)) **c.** Binomial (\( n = 100, p = 0.5 \)) - Fundamental Evaluations: - \( \cos(a2) \) #### Diagram: - There is a small triangular diagram towards the bottom right side labeled within the "Fundamental Evaluations" section. This could possibly represent some geometric relationship or a simple geometric shape used for clarity in the explanations provided. This content aims to provide insight into how Binomial distributions approach a Normal distribution as illustrated through specific examples, and touches on some fundamental mathematics and trigonometry concepts.
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