(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 > 1) (g) If E[XY] = 0.5, find the correlation betwcen X and Y %3D

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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1. The joint density for the random variables (X, Y) is given below.
2(27+3y)
for 0 <I< 1,0 <yS1
f(1,y)
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 > 1)
(B) If E[XY] = 0.5, find the correlation between X and Y
Transcribed Image Text:1. The joint density for the random variables (X, Y) is given below. 2(27+3y) for 0 <I< 1,0 <yS1 f(1,y) 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 > 1) (B) If E[XY] = 0.5, find the correlation between X and Y
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