# Classification of random variables

## How many types of random variables are there?

There are

**two**types of random variables, i.e. discrete and continuous random variables.## What are the types of random variable with example?

**Discrete and continuous random variables**are types of random variables. A discrete random variable can take an exact value. Examples are a binomial random variable and a Poisson random variable. The value of a continuous random variable falls between a range of values.

## How do you classify random variables as discrete or continuous?

A random variable is called

**discrete**.**if it has either a finite or a countable number of possible values**. A random variable is called continuous. if its possible values contain a whole interval of numbers.## How do you classify random processes?

Random processes are classified

**according to the type of the index variable and classifi- cation of the random variables obtained from samples of the random process**.## 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 called random variable?

A random variable (also called random quantity, aleatory variable, or stochastic variable) is a mathematical formalization of a quantity or object which depends on random events. It is a mapping or a function from possible outcomes in a sample space to a measurable space, often the real numbers.

## What are the four types of random process?

**Random process**

- Introduction.
- Deterministic And Non-Deterministic Random Process.
- Stationary And Non Stationary Processes.
- Ergodic and Nonergodic Random Processes.

## What is the difference between random variables and random process?

The random process can be denoted by X(t,s) or X(t), where s is the sample point of the random experiment and t is the time.

**A random variable is an outcome is mapped to a number whereas the Random process is an outcome is mapped to a random waveform that is a function of time**.## What are the properties of random process?

Properties of Random Process

A random process is described by some properties such as the **mean, autocorrelation, cross-correlation, autocovariance, power spectral density, and average power**.

## 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**.## 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 is a continuous random variable example?

The time to drive to school for a community college student is an example of a continuous random variable. The probability density function and areas of regions created by the points 15 and 25 minutes are shown in the graph. Find the probability that a student takes less than 15 minutes to drive to school.

## Which of the following is an example of discrete random variable?

Answer and Explanation: The right answer is (d)

**The number of horses owned by a farmer**. As the number of horses cannot be a fraction (decimal) value, it is the sole discrete variable in this situation.## What are examples of discrete and continuous variables?

Difference between Discrete and Continuous Variable

Discrete Variable | Continuous Variable |
---|---|

Examples: Number of planets around the Sun Number of students in a class | Examples: Number of stars in the space Height or weight of the students in a particular class |

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12 oct 2020

## What are the characteristics of 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).