Q4. Please answer in step by step Let X and Y be continuous random variables having the joint pdf8xy, 0≤ y ≤ x ≤10,otherwise.f(x, y)=(a) Sketch the graph of the support of X and Y.(b) Find ƒ₁(x), the marginal pdf of X.(c) Find ƒ₂(y), the marginal pdf of Y.(d) Compute μx, μy, o, o, Cov(X, Y), and p.(e) Find g(x|y =), the conditional pdf of X given Y = 3.(f) Find P(X < ³|Y = }).(g) Are X and Y independent? Why or why not?

Answered: Let X and Y be continuous random…

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Statistics

Let X and Y be continuous random variables having the joint pdf [8ay, 0

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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Question

Q4. Please answer in step by step

Let X and Y be continuous random variables having the joint pdf
8xy, 0≤ y ≤ x ≤1
0,
otherwise.
f(x, y)
=
(a) Sketch the graph of the support of X and Y.
(b) Find ƒ₁(x), the marginal pdf of X.
(c) Find ƒ₂(y), the marginal pdf of Y.
(d) Compute μx, μy, o, o, Cov(X, Y), and p.
(e) Find g(x|y =), the conditional pdf of X given Y = 3.
(f) Find P(X < ³|Y = }).
(g) Are X and Y independent? Why or why not?

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