Day 014.2 - 8 sum of two fair dice P(X=2(1,1 1/36 P(X=3(1,2(2,3 2/36 P(X=4(1,3(2,2(3,1 3/36 P(X=5(1,4(2,3(3,2(4,1 4/36 P(X=6(1,5(2,4(3,3(4,2(5,1

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5 Using the Axioms ) Pr( 1 ) Pr( 0 ) Pr( ) Pr( 1 ) Pr( ) Pr( ) Pr( ) Pr( ) Pr( ) Pr( ) Pr( ) Pr( A A A A False A A True A A A A A A = ¬ ¬ + = ¬ + = ¬ ¬ + = ¬
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6 Discrete Random Variables X denotes a random variable. X can take on a countable number of values in {x 1 , x 2 , …, x n }. P(X=x i ) , or P(x i ) , is the probability that the random variable X takes on value x i . P ( ) is called probability mass function.
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Discrete Random Variables 2/6/2012 7 fair coin fair dice P( X=heads ) = P( X=tails ) = 1/2 P( X=1 ) = P( X=2 ) = P( X=3 ) = P( X=4 ) = P( X=5 ) = P( X=6 ) = 1/6
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Discrete Random Variables
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Unformatted text preview: 2/6/2012 8 sum of two fair dice P(X=2) (1,1) 1/36 P(X=3) (1,2), (2,3) 2/36 P(X=4) (1,3), (2,2), (3,1) 3/36 P(X=5) (1,4), (2,3), (3,2), (4,1) 4/36 P(X=6) (1,5), (2,4), (3,3), (4,2), (5,1) 5/36 P(X=7) (1,6), (2,5), (3,4), (4,3), (5,2), (6, 1) 6/36 P(X=8) (2, 6), (3, 5), (4,4), (5,3), (6, 2) 5/36 P(X=9) (3, 6), (4, 5), (5, 4), (6, 3) 4/36 P(X=10) (4, 6), (5, 5), (6, 4) 3/36 P(X=11) (5, 6), (6, 5) 2/36 P(X=12) (6, 6) 1/36...
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This note was uploaded on 02/13/2012 for the course CSE 4421 taught by Professor Burton during the Winter '11 term at York University.

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Day 014.2 - 8 sum of two fair dice P(X=2(1,1 1/36 P(X=3(1,2(2,3 2/36 P(X=4(1,3(2,2(3,1 3/36 P(X=5(1,4(2,3(3,2(4,1 4/36 P(X=6(1,5(2,4(3,3(4,2(5,1

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