Question 1 function given by Suppose that X and Y have a joint probability density ce-3r-5y if a, y 20 fx.x(x, y) = otherwise Wbatermine Deter the value of the normalization constant c. Find the marginal probability density function fx and state the name of the distribution of X. Y Find the conditional probability density function fyjx=z- (Y Are the random variables X and Y statistically independent? Justify your answer.
Question 1 function given by Suppose that X and Y have a joint probability density ce-3r-5y if a, y 20 fx.x(x, y) = otherwise Wbatermine Deter the value of the normalization constant c. Find the marginal probability density function fx and state the name of the distribution of X. Y Find the conditional probability density function fyjx=z- (Y Are the random variables X and Y statistically independent? Justify your answer.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Question 1
function given by
Suppose that X and Y have a joint probability density
ce-3r-5y
if x, y 20
fx.x(x, y) =
%3D
otherwise
Dete
the value of the normalization constant c.
(b Find the marginal probability density function fx and state the name of the
distribution of X.
(YFind the conditional probability density function fyjx=z-
(Y Are the random variables X and Y statistically independent? Justify your answer.
Consider now a different joint probability density function for X and Y, namely
fxx(x, y) =
J12ye-3z-2y
if r, y 20
otherwise
OWhat is the probability P(Y2 > 2X > 0) ?
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