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The joint density function of two continuous random variables X and Y is: Scx2e-y/3 1

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

Q2] The joint density function of two continuous random variables X and Y is:
f(x,y) =
Scx²e-y/3 1<x < 6, 2 <y< 4
otherwise
(a) Determine the value of the constant c.
(b) Find the marginal distribution functions of X.
(c) Draw the integration boundaries andwrite the integration only for P(X+Y <6).

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