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,X1); (ii) Find the joint probability mass function of (X1,X2).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 14E
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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 Bi, 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 Bi, 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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