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Q: Is the mean of a random variable the theoretical average of a probability experiment and is not a possible outcome?

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Independent variable is what you, the experimenter, change or enacts in order to do your experiment

The question is under-specified. The variable is not defined, the event space is not defined, the experiment is not defined.

It can, but need not, affect the outcome of the experiment variable.

The answer depends on what you are trying to predict. Suppose you have a discrete random variable X with a probability density function p(X) = prob(X = x), then the expected value of a function f(X) of X is the sum of f(x)*p(x), summed over all possible values of x. For a continuous variable, the procedure is similar, except that you need to integrate rather than sum.

A dependant variable in an experiment is the portion of the experiment, or "y" variable that is subjected to change as a result of the various forms of the independent variable, or "x" variable.

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thas so true

Independent variable is what you, the experimenter, change or enacts in order to do your experiment

The question is under-specified. The variable is not defined, the event space is not defined, the experiment is not defined.

to gather data from data to create an controlled experiment

The variable is the thing that changes - there are literally an infinite number of possible variables so they cannot be listed. Each experiment has its own variable.

The dependent variable is the variable that can change in an experiment.

true or false : in order to get the best results from an experiment, change as many variables as possible within the experiment?

The dependent variable is the variable that can change in an experiment.

In order to answer this question it is important, first, to be certain that the theoretical probability (not probality!) can be calculated. For example, there is a probability that the first car that I see being driven on the next day [tomorrow] is black but I challenge anyone to calculate the theoretical probability. No one, not even I, know when I will wake up tomorrow (assuming that I live to wake up), when I draw my curtains and when look into the street. The number of black cars and non-black cars in my locality can be found, but it could be a car from somewhere else which just happens to drive past at the critical moment.Assuming there was a theoretical probability, the experimental probability would be better than would be obtained from 999 trials and not as good as 1001 trials. Any other statements would depend on the distribution of the variable being observed.

A random variable is a function that assigns unique numerical values to all possible outcomes of a random experiment. A real valued function defined on a sample space of an experiment is also called random variable.

The independent variable is the variable that is changed during an experiment.

What is a variable in a experiment