answersLogoWhite

0

What is a continuous random variable?

Updated: 4/28/2022
User Avatar

Wiki User

11y ago

Best Answer

In the simplest setting, a continuous random variable is one that can assume any value on some interval of the real numbers.

For example, a uniform random variable is often defined on the unit interval [0,1], which means that this random variable could assume any value between 0 and 1, including 0 and 1. Some possibilities would be 1/3, 0.3214, pi/4, e/5, and so on ... in other words, any of the numbers in that interval.

As another example, a normal random variable can assume any value between -infinity and +infinity (another interval). Most of these values would be extremely unlikely to occur but they would be possible. The random variable could assume values of 3, -10000, pi, 1000*pi, e*e, ... any possible value in the real numbers.

It is also possible to define continue random variables that assume values on the entire (x,y) plane, or just on the circumference of a circle, or anywhere that you can imagine that is essentially equivalent (in some sense) to pieces of a real line.

User Avatar

Wiki User

11y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is a continuous random variable?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Is the gender of college students a discrete random variable a continuous random variable or not a random variable?

It is a discrete random variable.


Can the Poisson distribution be a continuous random variable or a discrete random variable?

True


Is temperature an example of continuous variable?

Yes. It is a continuous variable. As used in probability theory, it is an example of a continuous random variable.


Random variable that can take any numeric value within a range of values?

continuous random variable


Define continuous random evevt?

Usually we consider a random variable which assigns a value to the outcome of an event. The value assigned to the outcome can be either discrete or continuous. The continuous random variable is a random variable whose domain is defined over a continuous range. Examples: Daily inches of rain, speed of cars on highway, purchases made everyday at grocery stores.


Does the probability that a continuous random variable take a specific value depend on the probability density function?

No. The probability that a continuous random variable takes a specific value is always zero.


Is the exact time it takes to evaluate 27 72 discrete or continuous?

it is a continuous random variable


Is the normal probability distribution applied to a continuous random variable?

Yes.


What is the probability that a continuous random variable takes on a specific value?

Zero.


What is meant by a continuous random variable?

it is a set of real numbers its consider fraction


How do you get the median of a continuous random variable?

You integrate the probability distribution function to get the cumulative distribution function (cdf). Then find the value of the random variable for which cdf = 0.5.


Is the number of miles driven on a trip a continuous random variable?

There is an exact number of miles for a given route on a trip. However, the measurement of the distance from the odometer some small and possibly random errors, so the measured distances could be considered a continuous random variable.