Math 352 Lecture7

# Math 352 Lecture7 - Random variable(rv central concept of probability theory RV = Numerical description of experiment Sample space S Definition A

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Random variable (rv) –           central concept of probability theory RV = Numerical description of experiment
S Sample space x Definition: A random variable   X  is a function whose domain is the sample space and range is the real line. Outcome

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Experiment : tossing a die Sample space 1/6 1/6 1/6 1/6 1/6 1/6 Probabilities Random variable = face value
Experiment : tossing a die Sample space 1/6 1/6 1/6 1/6 1/6 1/6 Probabilities Random variable = 1 for odd, 0 for even face value P( X =1) = P( X =0) = 1/2

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Experiment : tossing a coin Sample space 1/2 Probabilities Random variable = 1 for T, 0 for H P( X =1) = P( X =0) = 1/2 Head Tail 1/2
P( X =1) = P( X =0) = 1/2 Different experiments may produce the same random variable

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Experiment : tossing two dice Sample space (1,1) (2,1) (1,2) (2,2) (1,3) (2,3) (1,4) (2,4) (1,5) (2,5) (1,6) (2,6) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (4,1) (4,2) (4,3)
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## This note was uploaded on 09/21/2009 for the course MATH 352 taught by Professor Zaliapin during the Fall '09 term at Nevada.

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Math 352 Lecture7 - Random variable(rv central concept of probability theory RV = Numerical description of experiment Sample space S Definition A

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