Discrete Random Variables (VCE SSCE Mathematical Methods): Flashcards

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Discrete Random Variables
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Definition of random variable

Function linking each outcome to a specific number

Notation used for random variables

Capital letters like XX, YY, or ZZ

Definition of discrete random variable

Takes only separate, countable values

Discrete random variables arise from

Counting processes

Definition of continuous random variable

Can take any value within an interval

Continuous random variables arise from

Measuring processes

Definition of probability distribution

List of all possible values of XX with their probabilities

First condition for valid probability distribution

0p(x)10 \leq p(x) \leq 1 for all values of xx

Second condition for valid probability distribution

Sum of all probabilities p(x)p(x) equals 11

Formula for Pr(Xa)\Pr(X \neq a)

1Pr(X=a)1 - \Pr(X = a)

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