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

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Lecture 21- Outline and Examples Joint distributions (Ross § 6.1) -discrete -continuous

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Joint distributions (Ross § 6.1) Joint distributions - Discrete case Example. Roll two fair die. Let X denote the number of 2’s that appear, and Y the number of 3’s. (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 2’s that appear, and Y the number of 3’s. (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 ).

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Joint distributions (Ross § 6.1) Joint distributions - Discrete case Example. Roll two fair die. Let X denote the number of 2’s that appear, and Y the number of 3’s. (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 0 1 2 y 0 16/36 8/36 1/36 1 8/36 2/36 0 2 1/36 0 0 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
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• Spring '10
• RohiniKumar
• Probability distribution, Probability theory, Px, Joint probability distribution, Marginal distribution

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