W7-slides3 - Lecture 21- Outline and Examples Joint...

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Unformatted text preview: Lecture 21- Outline and Examples Joint distributions (Ross 6.1)-discrete-continuous Joint distributions (Ross 6.1) Joint distributions - Discrete case Example. Roll two fair die. Let X denote the number of 2s that appear, and Y the number of 3s. (i) Write the matrix giving the joint probability distribution for X and Y . Solution. Joint distributions (Ross 6.1) Joint distributions - Discrete case Example. Roll two fair die. Let X denote the number of 2s that appear, and Y the number of 3s. (i) Write the matrix giving the joint probability distribution for X and Y . Solution. Matrix of p X , Y ( x , y ) := P ( X = x , Y = y ). Joint distributions (Ross 6.1) Joint distributions - Discrete case Example. Roll two fair die. Let X denote the number of 2s that appear, and Y the number of 3s. (i) Write the matrix giving the joint probability distribution for X and Y . Solution. Matrix of p X , Y ( x , y ) := P ( X = x , Y = y ). x 1 2 y 16/36 8/36 1/36 1 8/36 2/36 2 1/36 The marginal probability mass functions are p X ( x ) = 2 X y =0 p X , Y ( x , y ) and p Y ( y ) = 2 X x =0 p X , Y ( x , y ) . Problem 2.Problem 2....
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This note was uploaded on 06/05/2010 for the course STAT PStat 120a taught by Professor Rohinikumar during the Spring '10 term at UCSB.

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W7-slides3 - Lecture 21- Outline and Examples Joint...

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