a) Find the constant c? b) Find the marginal pmfs of X and Y. c) Are X and Y independent? Why or Why not d) Find the conditional distribution of X.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 36E
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1. if X and Y are discrete random variables with joint pmf
f(x,y) = c
2*+y
,x = 0,1,2, ...; y = 0,1,2, ..
x! y!
and zero otherwise.
a) Find the constant c?
b) Find the marginal pmfs of X and Y.
c) Are X and Y independent? Why or Why not
d) Find the conditional distribution of X.
Transcribed Image Text:1. if X and Y are discrete random variables with joint pmf f(x,y) = c 2*+y ,x = 0,1,2, ...; y = 0,1,2, .. x! y! and zero otherwise. a) Find the constant c? b) Find the marginal pmfs of X and Y. c) Are X and Y independent? Why or Why not d) Find the conditional distribution of X.
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