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