Let X and Y be continuous random variables with a joint probability density function (pdf) ofthe formf(x,y) = {k(x+y), 0≤x≤ysl0,elsewhereFind:a) Show that the value of k= 2 so that f(x, y) is a joint pdf.b) the marginal of X and Y.

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Answered: Let X and Y be continuous random…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Let X and Y be continuous random variables with a joint probability density function (pdf) of the form f(x,y) = {k(x + (k(x+y), 0≤x≤y≤1 elsewhere Find: a) Show that the value of k = 2 so that f(x, y) is a joint pdf. b) the marginal of X and Y.