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r two continuous random variables X and Y with joint pdf f(x,y):

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Consider two continuous random variables X and Y with joint pdf f(x,y)= 24x for 0<x<0.5, and 0<y<1 - 2x
(a) Estimate the marginal density of X and find E(X).
(b) Estimate the marginal density of Y and find E(Y).
(c) Estimate the variances o_x^2 and o_y^2 to find the covariance o_{x,y}
(d) Find the correlation between X and Y. (Round to three decimal points)

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