Q. 2 Three balls are randomly placed in three empty boxes B1, B2 and B3. Let N denote the total number boxes which are occupied and let X¡ denote the number of balls in the box B;, i = 1, 2,3 (i) Find the joint probability mass function of (N,X1);

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Q. 2 Three balls are randomly placed in three empty boxes B1, B2
and B3. Let N denote the total number boxes which are occupied and
let X; denote the number of balls in the box B;, i
1, 2,3
(i) Find the joint probability mass function of (N,X,);
(ii) Find the joint probability mass function of (X1,X2).
Transcribed Image Text:Q. 2 Three balls are randomly placed in three empty boxes B1, B2 and B3. Let N denote the total number boxes which are occupied and let X; denote the number of balls in the box B;, i 1, 2,3 (i) Find the joint probability mass function of (N,X,); (ii) Find the joint probability mass function of (X1,X2).
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