Exercise 2. Answer the following Suppose (X, Y) is a continuous random vector having PDF f. Say for each of the following definitions of f whether X and Y are independent or not (a) f(, y)4xy 0 x < 1, 0 < y < 1 and f (x, y)8y, 0 x< y<1 (b) f(x, y) 144(x - 1/2)2, (y 1/2)2, 0 < x < 1, 0 < y < 1 and f(x, y)288(x -1/2)2, (y-1/2)2 0 x

Exercise 2. Answer the following Suppose (X, Y) is a continuous random vector having PDF f. Say for each of the following definitions of f whether X and Y are independent or not (a) f(, y)4xy 0 x < 1, 0 < y < 1 and f (x, y)8y, 0 x< y<1 (b) f(x, y) 144(x - 1/2)2, (y 1/2)2, 0 < x < 1, 0 < y < 1 and f(x, y)288(x -1/2)2, (y-1/2)2 0 x

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 24EQ

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