The joint density function of two continuous random variables X and Yis: p(x, y) = {Keós (x + y) Find (i) the constant K 0 2 0

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
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Chapter6: Power Flows
Section: Chapter Questions
Problem 6.22P
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The joint density function of two continuous random variables X and
Yis:
p(x, y) = {Keós (x + y)
Find (i) the constant K
0
2
0<x<π/4,0<у<π/4
otherwise
(ii)P(0.1<x<0.2,0.2<y<0.3) iii) P(X≥ 0.3, Y < 0.2)
iv) The marginal distribution function F₁(x), F2(y)
Transcribed Image Text:The joint density function of two continuous random variables X and Yis: p(x, y) = {Keós (x + y) Find (i) the constant K 0 2 0<x<π/4,0<у<π/4 otherwise (ii)P(0.1<x<0.2,0.2<y<0.3) iii) P(X≥ 0.3, Y < 0.2) iv) The marginal distribution function F₁(x), F2(y)
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