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Questions and Answers
In statistics, what does a random variable represent?
In statistics, what does a random variable represent?
- An impossible outcome in a random phenomenon
- The most common outcome in a random phenomenon
- A numerical outcome of a random phenomenon (correct)
- An average of all possible outcomes
What does a probability distribution describe?
What does a probability distribution describe?
- The likelihood of different outcomes in an experiment (correct)
- The minimum possible outcome in an experiment
- The maximum possible outcome in an experiment
- The average of all possible outcomes in an experiment
What is the mean of a probability distribution?
What is the mean of a probability distribution?
- The average value of the distribution (correct)
- The most frequently occurring value in the distribution
- The lowest value in the distribution
- The highest value in the distribution
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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).
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