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- Statistics 2000
- Morse
- Chapter 6 (Probability Distributions)

Alyssa G.

Random variable

A unique value for each outcome of a random phenomenon.

Discrete Random Variables

A **countable** number of possible values

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Continuous Random Variables

An **uncountable**, infinite number of possible values.

Probability Distribution

A table, graph, or mathematical equation that provides the possible values of the random variable and their corresponding probabilities.

(discrete random variables)

For discrete probability distributions,

the sum of the probabilities must = 1.

Mean of a Probability Distribution is the same thing as

expected value (is the same as...)

expected value

∑ [ x · P(x) ]

weighted average

Calculating an average/mean outcome using all the possible outcomes & their corresponding probabilities.

Probability distributions for continuous random variables is depicted by a _______.

curve

A continuous random variable has possible values that form an _______

interval

μ ± 1σ

~68% of the area

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μ ± 2σ

~95% of the area

μ ± 3σ

~99.7% of the area

z-score

Number of standard deviations away from the mean

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