1. The joint density for the random variables (X, Y) is given below. for 00.6) (R) If EXY] 08, find the correlation between X and Y

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Please answer questions d to g

1. The joint density for the random variables (X, Y) is given below.
for 0<aS 1,0S SI
for clsewhere
(a) Find the marginal density of X
(b) Find the marginal density of Y
(c) Find VarlX]
(d) Find Var(V]
(e) Are X and Y statistically inslependent?
() Find P(X>0.6)
(R) If EXY] 08, find the correlation between X and Y
Transcribed Image Text:1. The joint density for the random variables (X, Y) is given below. for 0<aS 1,0S SI for clsewhere (a) Find the marginal density of X (b) Find the marginal density of Y (c) Find VarlX] (d) Find Var(V] (e) Are X and Y statistically inslependent? () Find P(X>0.6) (R) If EXY] 08, find the correlation between X and Y
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