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. Type of cell phone Age 18-34 35-54 55+ Total 171 127 467 iPhone 169 Android 214 189 100 503 Other 134 277 643 1054 Total 517 637 870 2024 What is the probability that the person is not age 18 to 34 and does not own an iPhone? = 0.776 = 0.597 189+100+277+643 503+1054 189+100+277+643 2024 214+134 2024 = 0.172 214+134 = 0.673 517 189+100+277+643 637+870 = 0.802

MATLAB: An Introduction with Applications
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The Pew Research Center conducted a survey of 2,024 adult cell-phone owners in the United States to examine their age groups and the types of cell phones they use. The types of phones include iPhone, Android, and other phones (such as non-smartphones). Below is the summary of the data collected:

### Table: Distribution of Cell Phone Ownership by Age Group

| Type of Cell Phone | 18-34 | 35-54 | 55+ | Total |
|--------------------|-------|-------|-----|-------|
| iPhone             | 169   | 171   | 127 | 467   |
| Android            | 214   | 189   | 100 | 503   |
| Other              | 134   | 277   | 643 | 1054  |
| **Total**          | 517   | 637   | 870 | 2024  |

### Probability Question:

The question posed is to determine the probability that a randomly selected survey respondent is **not** in the age group 18 to 34 and does **not** own an iPhone.

### Answer Options:

- **Option a**: \(\frac{189+100+277+643}{503+1054} = 0.776\)
- **Option b**: \(\frac{189+100+277+643}{2024} = 0.597\)
- **Option c**: \(\frac{214+134}{2024} = 0.172\)
- **Option d**: \(\frac{214+134}{517} = 0.673\)
- **Option e**: \(\frac{189+100+277+643}{637+870} = 0.802\)

This data analysis helps to understand the distribution of cell phone ownership among different age groups and to calculate specific probabilities related to demographic and technological preferences.
Transcribed Image Text:The Pew Research Center conducted a survey of 2,024 adult cell-phone owners in the United States to examine their age groups and the types of cell phones they use. The types of phones include iPhone, Android, and other phones (such as non-smartphones). Below is the summary of the data collected: ### Table: Distribution of Cell Phone Ownership by Age Group | Type of Cell Phone | 18-34 | 35-54 | 55+ | Total | |--------------------|-------|-------|-----|-------| | iPhone | 169 | 171 | 127 | 467 | | Android | 214 | 189 | 100 | 503 | | Other | 134 | 277 | 643 | 1054 | | **Total** | 517 | 637 | 870 | 2024 | ### Probability Question: The question posed is to determine the probability that a randomly selected survey respondent is **not** in the age group 18 to 34 and does **not** own an iPhone. ### Answer Options: - **Option a**: \(\frac{189+100+277+643}{503+1054} = 0.776\) - **Option b**: \(\frac{189+100+277+643}{2024} = 0.597\) - **Option c**: \(\frac{214+134}{2024} = 0.172\) - **Option d**: \(\frac{214+134}{517} = 0.673\) - **Option e**: \(\frac{189+100+277+643}{637+870} = 0.802\) This data analysis helps to understand the distribution of cell phone ownership among different age groups and to calculate specific probabilities related to demographic and technological preferences.
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