Find P(iPhone | 18–34). Use your answer from part (a) to help determine if the events “iPhone” and “18–34” are independent.

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Cell phones The Pew Research Center asked a random sample of 2024 adult cell-phone owners from the United States their age and which type of cell phone they own: iPhone, Android, or other (including non-smartphones). The two-way table summarizes the data.

Suppose we select one of the survey respondents at random.

  1. Find P(iPhone | 18–34).
  2. Use your answer from part (a) to help determine if the events “iPhone” and “18–34” are independent.
The table provides a breakdown of phone users by age group and type of phone. It categorizes users into three age groups: 18-34, 35-54, and 55+. The phone types are divided into three categories: iPhone, Android, and Other.

### Table Details:

1. **iPhone Users:**
   - Ages 18-34: 169 users
   - Ages 35-54: 171 users
   - Ages 55+: 127 users
   - Total iPhone users: 467

2. **Android Users:**
   - Ages 18-34: 214 users
   - Ages 35-54: 189 users
   - Ages 55+: 100 users
   - Total Android users: 503

3. **Other Phone Users:**
   - Ages 18-34: 134 users
   - Ages 35-54: 277 users
   - Ages 55+: 643 users
   - Total Other phone users: 1054

4. **Age Group Totals:**
   - Total for ages 18-34: 517 users
   - Total for ages 35-54: 637 users
   - Total for ages 55+: 870 users

5. **Overall Total Users:**
   - 2024 users across all categories

The data in this table can help identify trends in phone usage across different age groups and types of phones. For instance, the "Other" phone category has the highest number of users among those aged 55 and above.
Transcribed Image Text:The table provides a breakdown of phone users by age group and type of phone. It categorizes users into three age groups: 18-34, 35-54, and 55+. The phone types are divided into three categories: iPhone, Android, and Other. ### Table Details: 1. **iPhone Users:** - Ages 18-34: 169 users - Ages 35-54: 171 users - Ages 55+: 127 users - Total iPhone users: 467 2. **Android Users:** - Ages 18-34: 214 users - Ages 35-54: 189 users - Ages 55+: 100 users - Total Android users: 503 3. **Other Phone Users:** - Ages 18-34: 134 users - Ages 35-54: 277 users - Ages 55+: 643 users - Total Other phone users: 1054 4. **Age Group Totals:** - Total for ages 18-34: 517 users - Total for ages 35-54: 637 users - Total for ages 55+: 870 users 5. **Overall Total Users:** - 2024 users across all categories The data in this table can help identify trends in phone usage across different age groups and types of phones. For instance, the "Other" phone category has the highest number of users among those aged 55 and above.
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