Suppose X and Y have joint probability density function [C(x²+y²), _if0

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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a) What is the value of C.

b) What is the variance of X.

Suppose X and Y have joint probability density function
{C(2².
C(x² + y²), if 0 < x < y < 1,
otherwise.
0,
f(x, y) =
=
Correct your answers to 4 decimal places. For example, 3.1416, 0.0012.
(b) Find the variance of X.
Transcribed Image Text:Suppose X and Y have joint probability density function {C(2². C(x² + y²), if 0 < x < y < 1, otherwise. 0, f(x, y) = = Correct your answers to 4 decimal places. For example, 3.1416, 0.0012. (b) Find the variance of X.
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