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.

It is given that the joint pmf f(x,y) for the discrete random variables X and Y is f(x,y) = xy2/30,…

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.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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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.

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