Although the rules of probability are just basic facts about percentages or proportions, we need to be able to use the language of events and their probabilities. Choose an American adult aged 20 years and over at random. Define two events: A = the person chosen is obese B = the person chosen is overweight but not obese According to the National Center for Health Statistics, P(A) = 0.40 and P(B) = 0.32. (b) Select the correct description stating what the event A or B is. O A or B is the event that the person is overweight or obese. A or B is the event that the person chosen is overweight or obese or both. A or B is the event that the person chosen is not obese or not overweight. A or B is the event that the person chosen is overweight and obese. What is P(A or B)? P(A or B) = 0.72 P(A or B) = 0.92

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**Probability of Obesity and Overweight in American Adults**

The study of probability involves understanding the likelihood of various events occurring. In this context, we consider the probabilities related to obesity and overweight status among American adults aged 20 years and over.

Define two events:
- \( A \): The person chosen is obese.
- \( B \): The person chosen is overweight but not obese.

Statistics (National Center for Health Statistics):
- Probability of event \( A \), \( P(A) = 0.40 \)
- Probability of event \( B \), \( P(B) = 0.32 \)

**Question (b):**

*Select the correct description stating what the event \( A \text{ or } B \) is.*

Options:
1. \( A \text{ or } B \) is the event that the person is overweight or obese.
2. \( A \text{ or } B \) is the event that the person chosen is overweight or obese or both.
3. \( A \text{ or } B \) is the event that the person chosen is not obese or not overweight.
4. \( A \text{ or } B \) is the event that the person chosen is overweight and obese.

**Question:** What is \( P(A \text{ or } B) \)?

Options:
- \( P(A \text{ or } B) = 0.72 \)
- \( P(A \text{ or } B) = 0.92 \)

This analysis helps in understanding how likely it is for an American adult to be either overweight or obese based on random selection.
Transcribed Image Text:**Probability of Obesity and Overweight in American Adults** The study of probability involves understanding the likelihood of various events occurring. In this context, we consider the probabilities related to obesity and overweight status among American adults aged 20 years and over. Define two events: - \( A \): The person chosen is obese. - \( B \): The person chosen is overweight but not obese. Statistics (National Center for Health Statistics): - Probability of event \( A \), \( P(A) = 0.40 \) - Probability of event \( B \), \( P(B) = 0.32 \) **Question (b):** *Select the correct description stating what the event \( A \text{ or } B \) is.* Options: 1. \( A \text{ or } B \) is the event that the person is overweight or obese. 2. \( A \text{ or } B \) is the event that the person chosen is overweight or obese or both. 3. \( A \text{ or } B \) is the event that the person chosen is not obese or not overweight. 4. \( A \text{ or } B \) is the event that the person chosen is overweight and obese. **Question:** What is \( P(A \text{ or } B) \)? Options: - \( P(A \text{ or } B) = 0.72 \) - \( P(A \text{ or } B) = 0.92 \) This analysis helps in understanding how likely it is for an American adult to be either overweight or obese based on random selection.
The image presents a multiple-choice question about probability in a context related to weight categories. Here's the transcription as if it will appear on an educational website:

---

### Question

Consider the following statement regarding events \(A\) and \(B\):

- \(A\) or \(B\) is the event that the person chosen is overweight or obese or both.

- \(A\) or \(B\) is the event that the person chosen is not obese or not overweight.

- \(A\) or \(B\) is the event that the person chosen is overweight and obese.

**What is \(P(A \text{ or } B)\)?**

- \(P(A \text{ or } B) = 0.72\)
- \(P(A \text{ or } B) = 0.92\)
- \(P(A \text{ or } B) = 0.128\)
- \(P(A \text{ or } B) = 0.33\)

---

This question tests the understanding of the probability of combined events.
Transcribed Image Text:The image presents a multiple-choice question about probability in a context related to weight categories. Here's the transcription as if it will appear on an educational website: --- ### Question Consider the following statement regarding events \(A\) and \(B\): - \(A\) or \(B\) is the event that the person chosen is overweight or obese or both. - \(A\) or \(B\) is the event that the person chosen is not obese or not overweight. - \(A\) or \(B\) is the event that the person chosen is overweight and obese. **What is \(P(A \text{ or } B)\)?** - \(P(A \text{ or } B) = 0.72\) - \(P(A \text{ or } B) = 0.92\) - \(P(A \text{ or } B) = 0.128\) - \(P(A \text{ or } B) = 0.33\) --- This question tests the understanding of the probability of combined events.
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Step 1: Provide the given information

b)

Two events are given.

Such that, A = the person chosen is obese,

B = the person chosen is overweight but not obese.

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