https://file.aiquickdraw.com/mathbot/file/1729870592947pg877n16.jpg

To calculate the probability that a randomly selected student is 25 to 34 years old, we use the formula for probability:

\[
P(\text{25 to 34 years}) = \frac{\text{Number of students aged 25 to 34}}{\text{Total number of students}}
\]

From the table, the number of students aged 25 to 34 is given as 3,493. The total number of students is 16,638.

\[
P(\text{25 to 34 years}) = \frac{3,493}{16,638} \approx 0.21
\]

Thus, the probability is approximately **0.21**.

Would you like more details or further clarification? Here are five related questions:

1. How would the probability change if we focused on only female students aged 25 to 34?
2. How can we calculate the probability for a different age group from this table?
3. How does the concept of independent and dependent events apply to this problem?
4. Can you explain the difference between probability and odds?
5. How would we use this information to calculate the probability of selecting a male student aged 25 to 34?

**Tip:** Always ensure the sum of the probabilities for all possible outcomes equals 1 when working with probabilities in a complete sample space.

A student is to be selected at random. The probability that the selected student is 25 to 34 years old is:

Calculate the probability that a randomly selected student is aged 25 to 34 from a given data table of students at a Midwestern university. This problem involves the concept of probability and ratios. Suitable for high school students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation