Determine whether the distribution is a discrete probability distribution 400 500 0 100 P(x) 0 200 300 0 0

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Is the distribution a discrete probability distribution? A) no, because each probability is not between zero and one, inclusive B) yes, because the sum of the probabilities is equal to one and each probability is between zero and one, inclusive C) no, because the sum of the probabilities is not equal to one D) yes, because the sum of the probabilities is equal to one
**Determine whether the distribution is a discrete probability distribution.**

| x   | 100 | 200 | 300 | 400 | 500 |
|-----|-----|-----|-----|-----|-----|
| P(x)| 0   | 0   | 0   | 0   | 1   |

**Explanation:**

This table displays a probability distribution where the random variable \( x \) can take on values 100, 200, 300, 400, and 500. The probability \( P(x) \) associated with each value is 0 for 100, 200, 300, and 400, while the probability is 1 for 500. 

This indicates that the random variable will always take the value 500, making this a valid discrete probability distribution since the sum of probabilities is 1.
Transcribed Image Text:**Determine whether the distribution is a discrete probability distribution.** | x | 100 | 200 | 300 | 400 | 500 | |-----|-----|-----|-----|-----|-----| | P(x)| 0 | 0 | 0 | 0 | 1 | **Explanation:** This table displays a probability distribution where the random variable \( x \) can take on values 100, 200, 300, 400, and 500. The probability \( P(x) \) associated with each value is 0 for 100, 200, 300, and 400, while the probability is 1 for 500. This indicates that the random variable will always take the value 500, making this a valid discrete probability distribution since the sum of probabilities is 1.
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