3 Questions
In statistics, what does a random variable represent?
A numerical outcome of a random phenomenon
What does a probability distribution describe?
The likelihood of different outcomes in an experiment
What is the mean of a probability distribution?
The average value of the distribution
Study Notes
Random Variables and Probability Distributions
- A random variable represents a numerical outcome or value that results from a random experiment or process.
- A random variable can be either discrete (taking on specific distinct values) or continuous (taking on any value within a certain range or interval).
Probability Distribution
- A probability distribution describes the probability of each possible value or outcome of a random variable.
- It provides a summary of the probability of each possible outcome, and can be used to calculate the likelihood of different events or outcomes.
Mean of a Probability Distribution
- The mean of a probability distribution is a measure of the central tendency or expected value of the random variable.
- It represents the long-run average value of the random variable, and is often denoted by the symbol μ (mu).
Test your knowledge about random variables and probability distribution with this quiz. Questions cover topics such as probability mass function, expected value, variance, and types of probability distributions.
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