Questions: What fraction of the people surveyed have lived in the U.S. at most 5 years? What fraction of the people surveyed have lived in the U.S. fewer than 5 years? What fraction of the people surveyed have lived in the U.S. from 4 to 15 years, inclusive?

Solution Steps

To solve the first question, we need to know the number of people who have lived in the U.S. for 10 years and the number of people who have lived in the U.S. for 2 years. Let’s denote:

• \( N_{10} \) = number of people who have lived in the U.S. for 10 years.
• \( N_{2} \) = number of people who have lived in the U.S. for 2 years.
• \( N \) = total number of people surveyed.

The fraction of people who have lived in the U.S. for 10 or 2 years is given by: \[ \text{Fraction} = \frac{N_{10} + N_{2}}{N} \]

For Part (e), we need to find the fraction of people who have lived in the U.S. for at most 5 years. Let’s denote:

• \( N_{\leq 5} \) = number of people who have lived in the U.S. for 5 years or less.

The fraction of people who have lived in the U.S. for at most 5 years is given by: \[ \text{Fraction} = \frac{N_{\leq 5}}{N} \]

For Part (f), we need to find the fraction of people who have lived in the U.S. for fewer than 5 years. Let’s denote:

• \( N_{<5} \) = number of people who have lived in the U.S. for fewer than 5 years.

The fraction of people who have lived in the U.S. for fewer than 5 years is given by: \[ \text{Fraction} = \frac{N_{<5}}{N} \]

Final Answer