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I guess this area can get a little confusing. Unfortunately many books on statistics do not provide a good explanation. In algebra, the concept of equations (relationships or functions) is introduced, such as y= (a)(x) with y and x variables, and a is a constant. So, a constant is assigned a particular value, and a variable's value is unknown until there is enough information in the equations. If I tell you that y = (a)(x), and a=1 and x=4, then you know what y is. So, the value of variables can change. The equation or function provides the way (link or map) from x to y. Now, the random variable must have a corresponding means to link outcomes to probability values. So, as you see in the link, a random variable is a function, or as many books define it, must have an associated function to link outcomes to probabilities.

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15y ago

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