Let X and Y be continuous random variables with a joint probability density function (pdf) ofthe formf(x,y) = {k(x+y), 0≤x≤y≤10,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…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.1: Continuous Probability Models

Problem 16E

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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) = { ; y) = {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.