6.39. The article “Chances Are You Know Someone with a Tattoo, and He's Not a Sailor" (Associated Press, June 11, 2006) included results from a survey of adults aged 18 to 50. The accompanying data are consistent with summary values given in the article. At Least One No Tattoo Tattoo Age 18–29 18 32 Age 30–50 44 Assuming these data are representative of adult Americans and that an adult American is selected at random, use the given information to estimate the following probabilities. (Hint: See Example 6.13.)

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Hey, can you show me how to calculate part B in the attached problem?

**Title:** Understanding Probabilities of Tattoos in Different Age Groups

**Study Context:**

The article *"Chances Are You Know Someone with a Tattoo, and He’s Not a Sailor"* (Associated Press, June 11, 2006) provides insights from a survey of adults aged 18 to 50 about their tattoo status. The data below represents a summary consistent with the article's information.

**Data Summary:**

| Age Group | At Least One Tattoo | No Tattoo |
|-----------|----------------------|-----------|
| Age 18–29 | 18                   | 32        |
| Age 30–50 | 6                    | 44        |

**Instructions:**

Assuming the data is representative of adult Americans, and an adult is selected randomly, the following probabilities are to be estimated:

**Calculating Probabilities:**

a. Probability of having at least one tattoo, \( P(\text{tattoo}) \).

**Answer:**

0.24

b. Conditional probability of having at least one tattoo given the age is 18-29, \( P(\text{tattoo|age 18–29}) \).

The data provides a basis for analyzing the likelihood of having tattoos in different age demographics.
Transcribed Image Text:**Title:** Understanding Probabilities of Tattoos in Different Age Groups **Study Context:** The article *"Chances Are You Know Someone with a Tattoo, and He’s Not a Sailor"* (Associated Press, June 11, 2006) provides insights from a survey of adults aged 18 to 50 about their tattoo status. The data below represents a summary consistent with the article's information. **Data Summary:** | Age Group | At Least One Tattoo | No Tattoo | |-----------|----------------------|-----------| | Age 18–29 | 18 | 32 | | Age 30–50 | 6 | 44 | **Instructions:** Assuming the data is representative of adult Americans, and an adult is selected randomly, the following probabilities are to be estimated: **Calculating Probabilities:** a. Probability of having at least one tattoo, \( P(\text{tattoo}) \). **Answer:** 0.24 b. Conditional probability of having at least one tattoo given the age is 18-29, \( P(\text{tattoo|age 18–29}) \). The data provides a basis for analyzing the likelihood of having tattoos in different age demographics.
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