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Q: Is it true that a variable is discrete if each of its values is very similar to the value that follows it?
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A random variable is said to be discrete if?

It can take only a finite number of values. These need not be integer values.


A discrete random variable can have only certain clearly separated values?

true.


Is the variable is discrete or continuous the number of keys on each student's key chain?

A random variable such as the number of keys on each student's key chain is discrete because you can list the possible values it can assume. If it was continuous one would not be list a continuous random variable because it would be impossible. The keys on the key chains would be discrete.


How can you tell if a table of values represents a function?

If all the values of the "independent" variable (x) are different then it is a function.If there are any repeats of the independent variable, the corresponding dependent variable, y, must be the same.If all the values of the "independent" variable (x) are different then it is a function.If there are any repeats of the independent variable, the corresponding dependent variable, y, must be the same.If all the values of the "independent" variable (x) are different then it is a function.If there are any repeats of the independent variable, the corresponding dependent variable, y, must be the same.If all the values of the "independent" variable (x) are different then it is a function.If there are any repeats of the independent variable, the corresponding dependent variable, y, must be the same.


Examples of continuous variables?

A continuous variable is one that can take infinite number of values in an interval. Examples are weight, height. A person's weight can be 150.2 lbs, 150.456 pounds and so on. Discrete variables, on the other hand can only assume a finite number of values. For example, number of people in a movie theatre.