1. The joint density for the random variables (X, Y) is given below.T22+39) for 0 < I< 1,0< yS1S(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)(g) If E[XY] = 0.5, find the correlation between X and Y%3D

As per bartleby guidelines we can solve only first three subparts and rest can be reposted

Answered: for clsewhere (a) Find the marginal…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 32EQ

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for clsewhere (a) Find the marginal density of X (b) Find the marginal density of Y (c) Find Var[X]