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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.7: More On Inequalities

Problem 44E

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Let X and Y be continuous random variables having a joint probability
density function (pdf) given by
f(x, y) = e-y,
(i)
(ii)
(iii)
= < y < x, 0 < x <∞⁰.
Calculate P(X + Y < 1).
Derive the conditional pdf of Y given that X = x.
Find the value of P(Y> 2|X = 3).

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