Random Variable and Probability Distribution

Front

What is a random variable?

Back

A random variable is a numerical outcome of a random phenomenon, which can take on different values based on the outcome of a random event.

Front

What are the two types of random variables?

Back

Discrete random variables and continuous random variables.

Front

Define a discrete random variable.

Back

A discrete random variable is one that can take on a countable number of distinct values.

Front

Define a continuous random variable.

Back

A continuous random variable is one that can take on an infinite number of possible values within a given range.

Front

What is a probability distribution?

Back

A probability distribution describes how the probabilities are distributed over the values of the random variable.

Front

What is the sum of probabilities in a probability distribution?

Back

The sum of all probabilities in a probability distribution is always equal to one.

Front

What is a binomial experiment?

Back

A binomial experiment is a statistical experiment that has two possible outcomes (success or failure) for each trial.

Front

How many outcomes are there in a binomial experiment?

Back

There are 2 outcomes in a binomial experiment.

Front

What is an example of a discrete random variable?

Back

The number of students enrolled in a school.

Front

What is an example of a continuous random variable?

Back

The amount of paint used in repainting a building.