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In each of the question below, X, Y indicate two random variables and f(x, y) denotes their joint distribution. C always denotes some positive normalizing constant (to ensure we can make f have integral 1). Please answer the following questions: a) For f(x, y) = Ce g(x, y) defined on 0 < x, y < 1, which function of g(x, y) is possible to make X, Y independent? A. g(x, y) = x + y; B. g(x, y) = x² + y C. g(x, y) = ex+y D. g(x, y) = e + ey Your answer: b) For f(x, y) = C(xy + g(x, y)) defined on 0 < x, y < 1, which function of g(x, y) is possible to make X, Y independent? A. g(x, y) = exy; B. g(x, y) = ex+y C. g(x, y) = x + y D. g(x, y) = x + y +1 Your answer:

In each of the question below, X, Y indicate two random variables and f(x, y) denotes their joint distribution. C always denotes some positive normalizing constant (to ensure we can make f have integral 1). Please answer the following questions: a) For f(x, y) = Ce g(x, y) defined on 0 < x, y < 1, which function of g(x, y) is possible to make X, Y independent? A. g(x, y) = x + y; B. g(x, y) = x² + y C. g(x, y) = ex+y D. g(x, y) = e + ey Your answer: b) For f(x, y) = C(xy + g(x, y)) defined on 0 < x, y < 1, which function of g(x, y) is possible to make X, Y independent? A. g(x, y) = exy; B. g(x, y) = ex+y C. g(x, y) = x + y D. g(x, y) = x + y +1 Your answer:

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 23E
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Joint distribution

In each of the question below, X, Y indicate two random variables and f(x, y) denotes their joint distribution. C always denotes some positive normalizing constant (to ensure we can make f have integral 1). Please answer the following questions: a) For f(x, y) = Ce g(x, y) defined on 0 < x, y < 1, which function of g(x, y) is possible to make X, Y independent? A. g(x, y) = x + y; B. g(x, y) = x² + y C. g(x, y) = ex+y D. g(x, y) = e + ey Your answer: b) For f(x, y) = C(xy + g(x, y)) defined on 0 < x, y < 1, which function of g(x, y) is possible to make X, Y independent? A. g(x, y) = exy; B. g(x, y) = ex+y C. g(x, y) = x + y D. g(x, y) = x + y +1 Your answer:
Transcribed Image Text:In each of the question below, X, Y indicate two random variables and f(x, y) denotes their joint distribution. C always denotes some positive normalizing constant (to ensure we can make f have integral 1). Please answer the following questions: a) For f(x, y) = Ce g(x, y) defined on 0 < x, y < 1, which function of g(x, y) is possible to make X, Y independent? A. g(x, y) = x + y; B. g(x, y) = x² + y C. g(x, y) = ex+y D. g(x, y) = e + ey Your answer: b) For f(x, y) = C(xy + g(x, y)) defined on 0 < x, y < 1, which function of g(x, y) is possible to make X, Y independent? A. g(x, y) = exy; B. g(x, y) = ex+y C. g(x, y) = x + y D. g(x, y) = x + y +1 Your answer:
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