A random variable is defined as a process or variable with a numerical outcome. Which of the following are random variables?
The amount of rain, in inches, that will fall next Friday in Dallas, TX.
The major of a randomly drawn student from Arizona State University.
The number of books purchased next year by your local library.
i only
ii only
iii only
i and iii
ii and iii
i, ii, and iii

To determine which of the statements are random variables, let's recall that a **random variable** is a numerical outcome of a random process. This means the variable must be capable of taking on different numerical values depending on the outcome of a random event.

1. **The amount of rain, in inches, that will fall next Friday in Dallas, TX**: This is a numerical value (in inches), and it depends on random weather conditions. So, this is a random variable.
   
2. **The major of a randomly drawn student from Arizona State University**: This is a categorical variable (major is a category, not a number). Since a random variable must be numerical, this is not a random variable.
   
3. **The number of books purchased next year by your local library**: This is a numerical value, and it depends on various random factors (like budget, demand, etc.). So, this is a random variable.

Based on the analysis:

- i and iii are random variables, but ii is not.

Thus, the correct answer is

A random variable is defined as a process or variable with a numerical outcome. Which of the following are random variables? The amount of rain, in inches, that will fall next Friday in Dallas, TX. The major of a randomly drawn student from Arizona State University. The number of books purchased next year by your local library. i only ii only iii only i and iii ii and iii i, ii, and iii

Explore how to identify random variables through practical examples like predicting rainfall, choosing a student's major, and estimating library purchases. This problem introduces key probability concepts related to random processes and numerical outcomes, ideal for students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation