There is no such thing as definite variable in mathematics. Some of the variables in mathematics are independent and dependent variables. More variables are usually found in probability textbooks.
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In the expression 5 + y + 8, y is a variable. We know how much 5 and 8 are, those are definite quantities. Only y has an unknown, and hence variable value.
The formula, if any, depends on the probability distribution function for the variable. In the case of a discrete variable, X, this defines the probability that X = x. For a continuous variable, the probability density function is a continuous function, f(x), such that Pr(a < X < b) is the area under the function f, between a and b (or the definite integral or f, with respect to x, between a and b.
W is a variable and, as such, could stand for any number, including rational and irrational ones.
The word definite is an adjective; for example, I want a definite answer. It is not a verb.
an independent variable is a thing you can change on your own. a depentent variable is a variable you depend on and a responding variable is a variable that reacts to the experiment