Suppose X and Y have the following joint PDF:[√c²-u²-v², if u≥0, v≥0, u² + v² ≤c²fxy (u,v) =0.else|where c>0 is a constant to be determined.(a) Draw the 3-dimensional PDF and its 2-dimensional region of support.4(b) Find the constant c (hint: the volume of a sphere with radius r is3(c) Find the marginal PDF of X.(d) What is the probability of X>Y.(e) Are X and Y independent? Why?

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Answered: Suppose X and Y have the following…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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There are point loads ,Q1 = 9, Q2 = 3 and Q3 = 6 at points A(-6,0), O(0,0) and B (11,0) in the OXY plane, respectively.Write the value of the x-component of the electric field in ke numerically at the point P(0, 10) on the-axis.
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In empty space (er = 1), the region x1 <x <x2 is filled with material with a dielectric coefficient er = 8 as a planar infinitely large plate. The geometry is shown in the figure below. Pay attention to the coordinate system placement.Region I: In (x <x1), the electric field vector was observed as E1 =(4.5) ux + (7.5) uy+(8.5) uz.Region II : (x1 <x <x2) de er = 8 by determining the electric field E2, write the value of the x-component: E2x numerically

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