therwise. Compute the pmfs px (x) and py (y) and determine whether X and Y are independent.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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(L&K 4.3) Suppose that X and Y are jointly discrete random variables with
2
p(x, y) = {
n(n+1) for x = 1, 2, ..., n and y = 1, 2, ..., x,
0
otherwise.
Compute the pmfs px (x) and py (y) and determine whether X and Y are independent.
Transcribed Image Text:(L&K 4.3) Suppose that X and Y are jointly discrete random variables with 2 p(x, y) = { n(n+1) for x = 1, 2, ..., n and y = 1, 2, ..., x, 0 otherwise. Compute the pmfs px (x) and py (y) and determine whether X and Y are independent.
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Given information:

The joint discrete random variables X and Y has the PMF given below:

px,y=2nn+1  ; x=1, 2, ..., n and y=1, 2, ..., x0               ; Otherwise

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