The joint density function of two continuous random variables X and Y is: p(x, y) = {cxy 0 < x < 4,1 < y < 5 0 otherwise Find (i) the constant c (ii)P(1

Power System Analysis and Design (MindTap Course List)
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ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.15P
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The joint density function of two continuous random variables X and
Y is:
p(x, y) = {cxy
0 < x < 4,1 < y < 5
0
otherwise
Find (i) the constant c
(ii)P(1<x<2,2<y<3) iii) P(X≥ 3, Y≤2)
iv) The marginal distribution function F1(x), F2(y)
Transcribed Image Text:The joint density function of two continuous random variables X and Y is: p(x, y) = {cxy 0 < x < 4,1 < y < 5 0 otherwise Find (i) the constant c (ii)P(1<x<2,2<y<3) iii) P(X≥ 3, Y≤2) iv) The marginal distribution function F1(x), F2(y)
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