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Description: Book nameMathematical statistics by John Fred 8th editionChp 3 Question 78 Probability Distributions79. If F(x, y) is the value of the joint distribution functionof X and Y at (x, y), show that the marginal distributionfunction of X is given byG(x) =

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Probability Distributions 79. If F(x, y) is the value of the joint distribution function of X and Y at (x, y), show that the marginal distribution function of X is given by G(x) = F(x,00) for -00

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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Mathematical statistics by John Fred 8th edition

Chp 3 Question 78

Probability Distributions
79. If F(x, y) is the value of the joint distribution function
of X and Y at (x, y), show that the marginal distribution
function of X is given by
G(x) = F(x,00)
for -00 <x<00
Use this result to find the marginal distribution function
of X for the random variables of Exercise 54.

54. Find the joint probability density of the two random
variables X and Y whose joint distribution function is
given by
(1 -e-²)(1- e-') forx>0,y>0
|
F(x, y)
elsewhere

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