A joint density function of the continuous random variables x and y is a function f(x, y) satisfying the following properties.a. f(x, y) 2 0 for all (x, y)b.f(x, у) dA1С. P[(x, у) € R]f(x, у) dA=RShow that the function is a joint density function and find the required probability.10 < x < 1, 1

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Show that the function is a joint density function and find the required probability. f(x, y) 0

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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Question

A joint density function of the continuous random variables x and y is a function f(x, y) satisfying the following properties.
a. f(x, y) 2 0 for all (x, y)
b.
f(x, у) dA
1
С. P[(x, у) € R]
f(x, у) dA
=
R
Show that the function is a joint density function and find the required probability.
1
0 < x < 1, 1 <y< 5
4
(x, y) = {
0, elsewhere
P(0 < x < 1, 1 < y< 2)

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