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 Bi, i = 1, 2, 3 (i) Find the joint probability mass function of (N,X,); (ii) Find the joint probability mass function of (X1,X2).

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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 Bị, i = 1, 2, 3
(i) Find the joint probability mass function of (N,X1);
(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 Bị, i = 1, 2, 3 (i) Find the joint probability mass function of (N,X1); (ii) Find the joint probability mass function of (X1,X2).
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