What is neither discrete nor continuous?

A random variable X is continuous if it is neither discrete nor continuous. In other words there is a least one value x such that Pr(X=x)>0 and the sum of the probabilities of all values x with positive probability is not one.

Can a function be neither discrete nor continuous?

A random variable X is continuous if FX (x) is continuous in x. A random variable X is discrete if FX (x) is a step function of x. There are random variables that are neither discrete nor continuous; e.g., a mixture of the two types.

How do you tell if a graph is discrete or continuous or neither?

When figuring out if a graph is continuous or discrete we see if all the points are connected. If the line is connected between the start and the end, we say the graph is continuous. If the points are not connected it is discrete.

Is Money continuous or discrete?

Because money comes, in clear steps of one cent, it’s a discrete variable, as well. In theory, the restaurant could make any amount of money. However, the revenue is still discrete. Because we can think of values that are not possible.

Can random variable be neither discrete nor continuous?

Random variables are mathematical models for quantitative measurements that depend on the outcome of a chance experiment. There are random variables that are neither discrete nor continuous, i.e., they can take on an uncountably infinite set of values but do not have a well-defined pdf.

Can variables be both discrete and continuous?

So by the definition of discrete and continuous random variables, a random variable cannot be both discrete and continuous. No. For a random variable to be discrete, there must a countable sequence such that . That implies that there exists some value such that .

Can a random variable be neither continuous nor discrete?

Formally, a random variable is a real-valued function defined on the sample space, i.e., a random variable associates a real number to each outcome. There are random variables that are neither discrete nor continuous, i.e., they can take on an uncountably infinite set of values but do not have a well-defined pdf.

What is an example of a discrete graph?

Discrete functions are used for things that can be counted. For example, the number of televisions or the number of puppies born. The graph of discrete functions is usually a scatter plot with scattered points like the one you just saw.

What is discrete data example?

Discrete data is information that we collect that can be counted and that only has a certain number of values. Examples of discrete data include the number of people in a class, test questions answered correctly, and home runs hit.

Is shoe size continuous or discrete?

Shoe size is whole number (discrete), but the underlying measure is foot length which is measurement (continuous) data.

Which of these is an example of a continuous random variable?

A continuous random variable is one which takes an infinite number of possible values. Continuous random variables are usually measurements. Examples include height, weight, the amount of sugar in an orange, the time required to run a mile. A continuous random variable is not defined at specific values.