Can a discrete random variable have an infinite number of possible outcomes?

number of possible sequences. That is, the sample space looks like this: S = { 36 , 0 − 36 , 00 − 36 , 1 − 36 , … , 35 − 36 , 0 − 0 − 36 , 0 − 1 − 36 , … } If we define the random variable to equal the number of spins until the wheel lands on 36, then the support of is { 0 , 1 , 2 , 3 , … } .

Which random variable can take infinite number of values?

continuous random variable
A continuous random variable is one which takes an infinite number of possible values. Continuous random variables are usually measurements.

Can discrete variables be infinite?

Infinite. Some references state that continuous variables can take on an infinite number of values, but discrete variables cannot.

How many possible values can the random variable take?

Its possible values are 1, 2, 3, 4, 5, and 6; each of these possible values has probability 1/6. 4. The word “random” in the term “random variable” does not necessarily imply that the outcome is completely random in the sense that all values are equally likely.

Have a finite number of possible values or an infinite number of values that can be counted?

Possible Values of X 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.

Is discrete finite or infinite?

Discrete random variables have two classes: finite and countably infinite. A discrete random variable is finite if its list of possible values has a fixed (finite) number of elements in it (for example, the number of smoking ban supporters in a random sample of 100 voters has to be between 0 and 100).

Is a discrete random value can take any value within an interval on the real line?

Thus, from the above discussion we can conclude that a discrete random value cannot take any value within an interval on the real line. So, the answer is False.

Can a random variable be both discrete and continuous?

So by the definition of discrete and continuous random variables, a random variable cannot be both discrete and continuous. That being said, there is a third type of real-valued random variable that is a mixture of discrete and continuous.

Is a random variable whose range of possible values is finite collection or infinite collection with as many elements as there are integers?

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.

Can assume only a finite or countable number of values?

random variable
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.

Is it true that a discrete random variable can take only finitely many values What is a binomial experiment?

In other words, a discrete random variable can take on an infinite number of values, but not all the values in an interval. When you find the probabilities of these values, you are able to show the probability distribution. A binomial distribution is only used when there are 2 possible outcomes.

How could we get the possible value of a random variable such as in a discrete 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. A discrete random variable X has a countable number of possible values.

What is a discrete random variable with a countably infinite number?

There are many discrete random variables that take countably infinite number of values; for instance, see Geometric distribution, Negative binomial distribution and Poisson distribution. Besides the standard examples, there are also some more exotic discrete random variables taking countably infinite number of possible values.

What is the difference between discrete and continuous?

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 variable is a quantity whose value changes. A discrete variable is a variable whose value is obtained by counting.

Is weight a discrete or continuous random variable?

Because the possible values are discrete and countable, this random variable is discrete, but it might be a more convenient, simple approximation to assume that the measurements are values on a continuous random variable as ‘weight’ is theoretically continuous. 4/23 Continuous Random Variables De\\fnition (Continuous Random Variable)

Is flipping a coin twice a discrete or continuous random variable?

Flipping a coin twice, the random variable Number of Heads 2f0;1;2gis a discrete random variable. Number of aws found on a randomly chosen part 2f0;1;2;:::g. Proportion of defects among 100 tested parts 2f0=100;1=100;…;100=100g.