This question is asked because I don't understand how random variables will affect various math problems, and knowledgeable mathematicians would.
By easier, we mean less steps
- If we make our own problems, random variables are wholly optional. Why? Because if we wanted random variables in a non-random variable problem, we just add a random source to the example problem. Having a random source automatically makes the variables into "random variables" for a problem.
- The variables being random variables or not doesn't seen to make any difference to certain example problems
A quick concrete example --
You have a bunch of range of numbers (like $33$ to $77$), which represents your IQ,
each with a corresponding percentage which represents your chance of getting cancer. That is what is inside one set.
There are many sets and each set has different continuous numbers and percentage
You find a comparative trend to solve this.
This example can be made random just by having the IQ number be randomly generated instead of already given. Now you have random variables. But these random variables don't seem to really affect the problem or example at all .
Beacause all we care about is the trend between the number and percents, and how they relate to the other numbers and percent in the other sets.
Here's another example where you can easily make the problem have random variables or not -- what math topic is this kind of example part of? or what is needed to understand how to solve it?, but I think the problem is fundamentally different from the IQ example.