MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Understanding Probability Distribution**

A bin contains 5 red and 5 green balls. 2 balls are chosen at random, without replacement. Let the random variable X be the number of green balls chosen.

### Why X is Not a Binomial Random Variable

a. **Explanation:**
   - Trials are not independent.
   - \( n = 2 \)
   - \( p = \frac{5}{10} \)
   
### Creating a Probability Distribution Table

b. **Probability Distribution:**
   - Fill in the table to describe the probability distribution for the variable X. Round your answers to the nearest hundredth but don't round your answer until the end, otherwise, the rounding errors will propagate.

**Table:**

| X | Probability |
|---|-------------|
| 0 |             |
| 1 |             |
| 2 |             |

**Instructions:**
1. Determine the probabilities for selecting 0, 1, or 2 green balls.
2. Ensure rounding is done only after calculating the final probabilities to avoid errors.

This table will help you understand the likelihood of each possible outcome when 2 balls are drawn from the bin under the given conditions.
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Transcribed Image Text:**Understanding Probability Distribution** A bin contains 5 red and 5 green balls. 2 balls are chosen at random, without replacement. Let the random variable X be the number of green balls chosen. ### Why X is Not a Binomial Random Variable a. **Explanation:** - Trials are not independent. - \( n = 2 \) - \( p = \frac{5}{10} \) ### Creating a Probability Distribution Table b. **Probability Distribution:** - Fill in the table to describe the probability distribution for the variable X. Round your answers to the nearest hundredth but don't round your answer until the end, otherwise, the rounding errors will propagate. **Table:** | X | Probability | |---|-------------| | 0 | | | 1 | | | 2 | | **Instructions:** 1. Determine the probabilities for selecting 0, 1, or 2 green balls. 2. Ensure rounding is done only after calculating the final probabilities to avoid errors. This table will help you understand the likelihood of each possible outcome when 2 balls are drawn from the bin under the given conditions.
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