Question

What is a random variable?

1) A variable that represents the outcome of a random experiment
2) A variable that is randomly chosen
3) A variable that is the result of a measurement
4) A variable that is determined by chance

Answer 1

A random variable is a variable that represents the outcome of a random experiment. It is a characteristic of interest in a population being studied, and its values are numerical outcomes of a probability experiment.

Step-by-step explanation:

A random variable is a variable that represents the outcome of a random experiment. It is a characteristic of interest in a population being studied, and its values are numerical outcomes of a probability experiment. The values of a random variable can vary with each repetition of an experiment.

For example, let's consider the random variable X representing the number of heads obtained when flipping a coin three times. The possible values of X are 0, 1, 2, or 3, depending on the number of heads obtained in each repetition of the experiment.