1. Consider the joint pmff(x, y) for the discrete random variables X and Y:2xy²30f(x, y) =x = 1, 2, 3;y = 1, 2Determine the marginal distributions of X and Y, and then determine if X and Y independentusing these distributions.

Answered: f(x, y) = 2 xy² 30 x = 1, 2, 3; y = 1,…

f(x, y) = 2 xy² 30 x = 1, 2, 3; y = 1, 2 Determine the marginal distributions of X and Y, and then determine if X and Y independent using these distributions.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

1. Consider the joint pmff(x, y) for the discrete random variables X and Y:
2
xy²
30
f(x, y) =
x = 1, 2, 3;
y = 1, 2
Determine the marginal distributions of X and Y, and then determine if X and Y independent
using these distributions.

Expert Solution

Step 1

It is given that the joint pmf f(x,y) for the discrete random variables X and Y is

f(x,y) = xy²/30, x = 1, 2, 3; y = 1, 2

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