1. The joint density for the random variables (X, Y) is given below. 2(r+2y) for 0
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Problem 1P
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![1. The joint density for the random variables (X, Y) is given below.
2(x+2y)
for 0<I<1,0<y<1
f(r,u) =
for clsewhere
(a) Find the marginal density of X
(b) Find the marginal density of Y
(c) Find Var[X]
(d) Find Var[Y]
(c) Are X and Y statistically independent?
(f) Find P(X > 0.6)
(g) If E[XY]=0.8, find the corrclation between X and Y
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff6d5b3a0-73be-4c91-8d64-50587ba2718d%2F58b61bd4-c4da-44cf-bf13-a8ef7841c55d%2Fbea8onq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. The joint density for the random variables (X, Y) is given below.
2(x+2y)
for 0<I<1,0<y<1
f(r,u) =
for clsewhere
(a) Find the marginal density of X
(b) Find the marginal density of Y
(c) Find Var[X]
(d) Find Var[Y]
(c) Are X and Y statistically independent?
(f) Find P(X > 0.6)
(g) If E[XY]=0.8, find the corrclation between X and Y
%3D
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