 # Quick Answer: What Is An Example Of Continuous Random Variable?

## What is a continuous random variable give some examples?

A continuous random variable is a random variable where the data can take infinitely many values.

For example, a random variable measuring the time taken for something to be done is continuous since there are an infinite number of possible times that can be taken..

## How do you find the continuous random variable?

The probability that a random variable X X X takes a value in the (open or closed) interval [ a , b ] [a,b] [a,b] is given by the integral of a function called the probability density function f X ( x ) f_X(x) fX​(x): P ( a ≤ X ≤ b ) = ∫ a b f X ( x ) d x .

## What is discrete data example?

Data that can only take certain values. For example: the number of students in a class (you can’t have half a student). Discrete Data is not Continuous Data.

## What is the difference between discrete and continuous probability distribution?

Control Charts: A discrete distribution is one in which the data can only take on certain values, for example integers. A continuous distribution is one in which data can take on any value within a specified range (which may be infinite).

## How do you describe a continuous random variable?

A continuous random variable is a function X X X on the outcomes of some probabilistic experiment which takes values in a continuous set V V V. That is, the possible outcomes lie in a set which is formally (by real-analysis) continuous, which can be understood in the intuitive sense of having no gaps.

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

“A discrete variable is one that can take on finitely many, or countably infinitely many values”, whereas a continuous random variable is one that is not discrete, i.e. “can take on uncountably infinitely many values”, such as a spectrum of real numbers. Your Pythagorean X is a good example.

## Is weight a discrete or continuous variable?

Continuous random variables have numeric values that can be any number in an interval. For example, the (exact) weight of a person is a continuous random variable. Foot length is also a continuous random variable. Continuous random variables are often measurements, such as weight or length.

## Is Money discrete or continuous?

A continuous distribution should have an infinite number of values between \$0.00 and \$0.01. Money does not have this property – there is always an indivisible unit of smallest currency. And as such, money is a discrete quantity.

## What is an example of a continuous variable?

Continuous variables are numeric variables that have an infinite number of values between any two values. A continuous variable can be numeric or date/time. For example, the length of a part or the date and time a payment is received.

## What are examples of discrete and continuous variables?

For example, you could be: 25 years, 10 months, 2 days, 5 hours, 4 seconds, 4 milliseconds, 8 nanoseconds, 99 picosends…and so on. Time is a continuous variable. You could turn age into a discrete variable and then you could count it.

## How do you know if something is discrete or continuous?

Definition: A set of data is said to be continuous if the values belonging to the set can take on ANY value within a finite or infinite interval. Definition: A set of data is said to be discrete if the values belonging to the set are distinct and separate (unconnected values).

## What are the examples of random variables?

A typical example of a random variable is the outcome of a coin toss. Consider a probability distribution in which the outcomes of a random event are not equally likely to happen. If random variable, Y, is the number of heads we get from tossing two coins, then Y could be 0, 1, or 2.

## What is an example of a discrete random variable?

Every probability pi is a number between 0 and 1, and the sum of all the probabilities is equal to 1. Examples of discrete random variables include: The number of eggs that a hen lays in a given day (it can’t be 2.3) The number of people going to a given soccer match.

## What are the two types of random variables?

A random variable, usually written X, is a variable whose possible values are numerical outcomes of a random phenomenon. There are two types of random variables, discrete and continuous.

## Is number of days discrete or continuous?

Interval and Ratio variables can be further split into two types: discrete and continuous. Discrete variables, like counts, can only take on whole numbers: number of children in a family, number of days missed from work. Continuous variables can take on any number, even beyond the decimal point.