Please answer all of the parts. Thank you! If the joint density function of X and Y isf(x, y) = c(x² – y )e-Ax,with 0 < x < o and -x < y< x, find each of the following.(a) The conditional probability density of X, given Y = y > 0.Conditional density fxjr(x, y) =(Enter your answer as a function of x, with y as a parameter.)(b) The conditional probability distribution of Y, given X = x.Conditional distribution Fyx (y|x) =(for -x < y < x).(Enter your answer as a function of y, with x as a parameter.)

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If the joint density function of X and Y is f(x, y) = c(x² – y³ )etx, Ex < ∞ and-x < y < x, find each of the following. conditional probability density of X, given Y = y > 0. pnal density fxjy(x, y) = pur answer as a function of x, with y as a parameter.) conditional probability distribution of Y, given X = x. onal distribution Fyx(y]x) = (for -x < y < x). our answer as a function of y, with x as a parameter.)

If the joint density function of X and Y is f(x, y) = c(x² – y³ )etx, Ex < ∞ and-x < y < x, find each of the following. conditional probability density of X, given Y = y > 0. pnal density fxjy(x, y) = pur answer as a function of x, with y as a parameter.) conditional probability distribution of Y, given X = x. onal distribution Fyx(y]x) = (for -x < y < x). our answer as a function of y, with x as a parameter.)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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