The set of all possible outcomes for a random variable (only hypothetical population, not a population of people)1 pointPopulationRandom VariableIndependent Variable

It seems like you're asking about the definitions of certain statistical terms. Here they are:

1. Population: In statistics, a population is the entire pool from which a statistical sample is drawn. A population may refer to an entire group of people, objects, events, hospital visits, or measurements. In this case, you mentioned a hypothetical population, which could refer to a theoretical group of individuals or events that we're interested in studying.

2. Random Variable: A random variable is a variable whose possible values are numerical outcomes of a random phenomenon. There are two types of random variables, discrete and continuous. A discrete random variable is one which may take on only a countable number of distinct values such as 0,1,2,3,4,... etc. A continuous random variable is one which takes an infinite number of possible values.

3. Independent Variable: In statistics, an independent variable is a variable that is being manipulated in an experiment in order to observe the effect on a dependent variable, sometimes called an outcome variable. The independent variables are the inputs, while the dependent variables are the outputs.

So, the set of all possible outcomes for a random variable is called the sample space of the random variable. For example, if we flip a coin, the sample space is {Heads, Tails}. If we roll a die, the sample space is {1, 2, 3, 4, 5, 6}.