If the joint density function of X and Y is f(x, y) = c(x – y )eAx, 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 fxjY (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

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 the questions to the fourth decimal point. Thank you!
If the joint density function of X and Y is
f(x, y) = c(x² – y )e-4x,
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 fx|Y (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 (ylx) =
(for -x < y < x).
(Enter your answer as a function of y, with x as a parameter.)
Transcribed Image Text:If the joint density function of X and Y is f(x, y) = c(x² – y )e-4x, 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 fx|Y (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 (ylx) = (for -x < y < x). (Enter your answer as a function of y, with x as a parameter.)
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