Questions: Complete the following sentences. Part: 0 / 2 Part 1 of 2 random variables can take on any value in an interval. Discrete Categorical Continuous Qualitative

Solution Steps

To determine which type of random variables can take on any value in an interval, we need to understand the definitions of different types of random variables. Continuous random variables are those that can take any value within a given range or interval. Therefore, the correct answer is "Continuous."

Random variables can be classified into different categories based on the nature of their possible values. The main types include:

• Discrete Random Variables: These can take on a countable number of distinct values.
• Categorical Random Variables: These represent categories or groups and do not have a numerical value.
• Continuous Random Variables: These can take on any value within a given interval, meaning they can assume an infinite number of values.
• Qualitative Random Variables: These are similar to categorical variables and describe qualities or characteristics.

Among the options provided, we need to identify which type of random variable can take on any value in an interval. The definition of continuous random variables indicates that they can assume any value within a specified range.

Final Answer