Suppose X and Y are the coordinates of a randomly sampled point in the triangle with vertices (-1,0), (1,0), (0,1). (This means their joint PDF is a constant). a ) Find the joint PDF of X and Y, call if f (x, y). b) Find fy (y) c) Find fx\y (x|Y = .5)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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Suppose X and Y are the coordinates of a randomly sampled point in the triangle with vertices (-1,0),
(1,0), (0,1). (This means their joint PDF is a constant).
a ) Find the joint PDF of X and Y, call if f (x, y).
b) Find fy (y)
c) Find fx\y (x|Y = .5)
Transcribed Image Text:Suppose X and Y are the coordinates of a randomly sampled point in the triangle with vertices (-1,0), (1,0), (0,1). (This means their joint PDF is a constant). a ) Find the joint PDF of X and Y, call if f (x, y). b) Find fy (y) c) Find fx\y (x|Y = .5)
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