Using table attached, What is the average (theoretical) number of licensed dogs per household in this county? Possible answers: 1, 1.03, 0.92, and 0.  Please show calculations and full work on how answers were obtained.

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Using table attached, What is the average (theoretical) number of licensed dogs per household in this county?

Possible answers: 1, 1.03, 0.92, and 0. 

Please show calculations and full work on how answers were obtained. 

**Probability Distribution Table for Random Variable X**

This table represents the probability distribution of a discrete random variable X. The distribution shows the probability that X takes on specific values.

| Value of X | 0   | 1   | 2   | 3   | 4   | 5   |
|------------|-----|-----|-----|-----|-----|-----|
| Probability| 0.59| 0.11| 0.09| 0.07| 0.07| 0.02|

- **Value of X**: The potential outcomes or values that the random variable X may have.
- **Probability**: The likelihood of each outcome occurring. Each value represents the probability that X will be equal to the corresponding value.

This probability distribution is essential for understanding the behavior of the random variable X and is often used for statistical analysis and decision-making processes. The sum of all probabilities is 1, which is a fundamental property of probability distributions.
Transcribed Image Text:**Probability Distribution Table for Random Variable X** This table represents the probability distribution of a discrete random variable X. The distribution shows the probability that X takes on specific values. | Value of X | 0 | 1 | 2 | 3 | 4 | 5 | |------------|-----|-----|-----|-----|-----|-----| | Probability| 0.59| 0.11| 0.09| 0.07| 0.07| 0.02| - **Value of X**: The potential outcomes or values that the random variable X may have. - **Probability**: The likelihood of each outcome occurring. Each value represents the probability that X will be equal to the corresponding value. This probability distribution is essential for understanding the behavior of the random variable X and is often used for statistical analysis and decision-making processes. The sum of all probabilities is 1, which is a fundamental property of probability distributions.
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