NOTES_Chapter 7_Random Variables and Discrete Probability Distributions

# NOTES_Chapter 7_Random Variables and Discrete Probability Distributions

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Chapter 7: Random Variables and Discrete Probability Distributions 7.1 Random Variables and Probability Distributions Random Variable – a function or rule the assigns a number to each outcome of an experiment 1. Discrete random variable – can take on a countable number of values 2. Continuous random variable – values are uncountable 3. Probability distribution – a table, formula, or graph that describes the values a random variable and the probability associated with these variables Discrete Probability Distributions 1. Requirements for a Distribution of a Discrete Random Variable 1.1. 1.2. Where the random variable can assume values x and P(x) is the probability that the random variable is equal to x . Probability Distributions and Populations – the importance of probability distributions derives from their use as representatives of populations Describing the Population/Probability Distribution 1. Population Mean – the weighted average of all of its values. The weights are the probabilities.

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NOTES_Chapter 7_Random Variables and Discrete Probability Distributions

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