Let X and Y have joint PDF cy fxx(z,y) = { 0 0≤y≤z≤1 0 otherwise a) Draw the region of positive probability, and find constant c. b) Find fx(x) and fy (y). c) Find P[Y ≤X/2].

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Let X and Y have joint PDF
cy
fx,y (a, y) = {
0 ≤ y ≤ x ≤ 1
otherwise
0
a) Draw the region of positive probability, and find constant c.
b) Find fx(x) and fy (y).
c) Find P[Y ≤ X/2].
d) Find E[X], E[Y], ox, oz.
Transcribed Image Text:Let X and Y have joint PDF cy fx,y (a, y) = { 0 ≤ y ≤ x ≤ 1 otherwise 0 a) Draw the region of positive probability, and find constant c. b) Find fx(x) and fy (y). c) Find P[Y ≤ X/2]. d) Find E[X], E[Y], ox, oz.
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