Question

A variable that can assume any value between two given points is called :

• A. Uncertain random variable
• B. Irregular random variable
• C. Discrete random variable
• D. Continuous random variable

Hint:

If you can count the possible values, the variable is discrete. If you must measure the values (like time, weight, or distance), the variable is continuous.

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
Random variables are classified into two main types based on the values they can take: discrete and continuous.
Detailed Explanation:
Let us compare the two primary types of random variables:
- Discrete random variable: Can only take on distinct, countable values (usually integers, like the number of heads in coin tosses, or number of children). There are gaps between the possible values.
- Continuous random variable: Can take on any real value within a continuous interval or between two given points (such as height, weight, temperature, or time). There are infinitely many possible values within any interval, and no gaps exist.
Therefore, a variable that can take any value between two given points is a continuous random variable.

Step 2: Final Answer:
The variable is a Continuous random variable, which corresponds to Option (D).