# Definition of random variable

## What is meant by random variable?

A random variable is

**a variable whose value is unknown or a function that assigns values to each of an experiment’s outcomes**. A random variable can be either discrete (having specific values) or continuous (any value in a continuous range).## What is random variable and example?

The probability of any event in an experiment is a number between 0 and 1, and the sum of all the probabilities of the experiment is equal to 1. Examples of discrete random variables include the number of outcomes in a rolling die, the number of outcomes in drawing a jack of spades from a deck of cards and so on.

## Why is it called a random variable?

So the random variables are called random because

**the value of this variable cannot be defined with certainty**, we can only make a guess and this guess is called the probability of having a particular value of a random variable. In coin toss experiment, P(X=1) = 0.5.## What are the 2 types of random variable?

Random variables are classified into

**discrete and continuous variables**. The main difference between the two categories is the type of possible values that each variable can take.## What is the formula of random variable?

The formula is:

**Î¼**. In other words, multiply each given value by the probability of getting that value, then add everything up. For continuous random variables, there isn’t a simple formula to find the mean._{x}= x_{1}*p_{1}+ x_{2}*p_{2}+ hellip; + x_{2}*p_{2}= Î£ x_{i}p_{i}## Why random variable is a function?

If S is a finite set with m elements, then X(s) can assume at most m different values as s varies in S.) Figure 1: A (real-valued) random variable is a function

**mapping a probability space into the real line**. As such, a random variable has a probability distribution.## Which is not a random variable?

A non-random variable is generally called

**a Constant**.## What are discrete and continuous random variables?

A random variable is a variable whose value depends on all the possible outcomes of an experiment.

**A continuous random variable is defined over a range of values while a discrete random variable is defined at an exact value**.## What is random variable PDF?

A random variable is

**a numerically valued variable which takes on different values with given probabilities**.## Can you give 5 examples of continuous random variables?

In general, quantities such as

**pressure, height, mass, weight, density, volume, temperature, and distance**are examples of continuous random variables.## What are the 3 example of discrete random variable?

Examples of discrete random variables include

**the number of children in a family, the Friday night attendance at a cinema, the number of patients in a doctor’s surgery, the number of defective light bulbs in a box of ten**.## What is a continuous random variable example?

A random variable X is continuous if possible values comprise either a single interval on the number line or a union of disjoint intervals. Example: If in the study of the ecology of a lake, X, the r.v. may be depth measurements at randomly chosen locations.

## What is a random variable in probability?

A random variable is

**a numerical description of the outcome of a statistical experiment**. A random variable that may assume only a finite number or an infinite sequence of values is said to be discrete; one that may assume any value in some interval on the real number line is said to be continuous.## What are discrete and continuous random variables?

A random variable is a variable whose value depends on all the possible outcomes of an experiment.

**A continuous random variable is defined over a range of values while a discrete random variable is defined at an exact value**.## What is the difference between a discrete and continuous random variable?

**A discrete variable is a variable whose value is obtained by counting.**

**A continuous variable is a variable whose value is obtained by measuring**. A random variable is a variable whose value is a numerical outcome of a random phenomenon.

## What is the difference between discrete and continuous variable?

Discrete and continuous variables are two types of quantitative variables:

**Discrete variables represent counts (e.g. the number of objects in a collection).****Continuous variables represent measurable amounts**(e.g. water volume or weight).## Which is a continuous variable?

Continuous variables

A variable is said to be continuous **if it can assume an infinite number of real values within a given interval**. For instance, consider the height of a student. The height can’t take any values.

## Which is discrete variable?

Siddharth Kalla86.9K reads. A discrete variable is a kind of statistics variable that can only take on discrete specific values. The variable is not continuous, which means there are infinitely many values between the maximum and minimum that just cannot be attained, no matter what.