AP Stats: Chapter 6.1

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random variable

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20 Terms

1

random variable

takes random variables determined by the outcome of a chance process

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2

probability distribution

gives random variables possible values and their probabilities

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3

discrete and continous

two types of random variables

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4

discrete random variable

has a fixed set of possible values with gaps between them

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5

continuous random variable

can take any value in an interval on the number line

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6

mean of a random variable μX

the balance point of the probability distribution histogram or density

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7

standard deviation of a random variable σX

measures how much the values of the variable typically vary from the mean

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8

variance of X

the “average” squared deviation of the values of the variable from their mean

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9

expected value

long run average value of the variable after many repetitions of the chance process, E(X)

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10

how to define shape of a probability distribution histogram or density curve

identifying symmetry or skewness and any major peaks

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11

standard deviation of X

square root of the variance

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12

probability of any event

the sum of all the probabilities of all the values that make up the event

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13

horizontal

axis the values of the variable go on a graph

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14

vertical

axis the probabilities go on a graph

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15

mean

measure of center in a probability distribution

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16

0 and 1

values that probability must fall between

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17

1

area underneath a valid probability density curve for a continuous random variable

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18

probability for any event

the area under the density curve directly above the values on the horizontal axis that make up the event

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19

standard deviation

use this to summarize the variability of a probability distribution

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20

1

sum of all the probabilities in a probability diatribution

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