f(x, y) = c(x² – y³ )e4x, %3D O 0. litional density fx\y (x, y) = %3D r your answer as a function of x, with y as a parameter.) ne conditional probability distribution of Y, given X = x. ditional distribution Fyix (y|x) = (for -x < y %3D er your answer as a function of y, with x as a parameter.)
f(x, y) = c(x² – y³ )e4x, %3D O 0. litional density fx\y (x, y) = %3D r your answer as a function of x, with y as a parameter.) ne conditional probability distribution of Y, given X = x. ditional distribution Fyix (y|x) = (for -x < y %3D er your 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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Please answer all questions to the fourth decimal points. Thank You!
Transcribed Image Text:|If the joint density function of X and Y is
S(x, y) = c(x² – y)e Ax,
with 0 < x < co and -x < y < x, find each of the following.
(a) The conditional probability density of X, given Y = y > 0.
Conditional density fxy (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 Fyix (y|x) =
(for -x < y < x).
(Enter your answer as a function of y, with x as a parameter.)
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