Let X and Y be two random variables cotinuous with PDF equal to if (x, y) E D fxx(x, y) 0. elsewhere . where D is the region of the plane delimited by three lines: y = 1 (parallel to the r axes), x = 1 (parallel to the y axes), and y = 1- x. Determine 1. the marginal density of fx(x); 2. the conditional density of fY|x; 3. the independence (or dependence) between X and Y.
Let X and Y be two random variables cotinuous with PDF equal to if (x, y) E D fxx(x, y) 0. elsewhere . where D is the region of the plane delimited by three lines: y = 1 (parallel to the r axes), x = 1 (parallel to the y axes), and y = 1- x. Determine 1. the marginal density of fx(x); 2. the conditional density of fY|x; 3. the independence (or dependence) between X and Y.
MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Answer all parts 1, 2, and 3 of the question below. Show all work and steps.
![Let X and Y be two random variables continuous with PDF equal
to
if (x, y) E D
fx,y (x, y)
elsewhere .
where D is the region of the plane delimited by three lines: y = 1 (parallel to the x axes),
x = 1 (parallel to the y axes), and y = 1 – x. Determine
1.
the marginal density of fx(x);
2.
the conditional density of fy|X;
3.
the independence (or dependence) between X and Y.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F361779f5-7517-4850-b433-f5d42195c84d%2F89cde32c-b895-4a6b-9d23-4932fa6e1a7e%2F7y5yp3s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let X and Y be two random variables continuous with PDF equal
to
if (x, y) E D
fx,y (x, y)
elsewhere .
where D is the region of the plane delimited by three lines: y = 1 (parallel to the x axes),
x = 1 (parallel to the y axes), and y = 1 – x. Determine
1.
the marginal density of fx(x);
2.
the conditional density of fy|X;
3.
the independence (or dependence) between X and Y.
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