3. For the following density function fxy (x,y) = k(x²- y²)e-y where the support of the vector is B, B = {(x, y) : 0 < y <∞, x < y} Calculate the following: a) k such that fxy is a function of density. b) The joint distribution function. c) The marginal density function for each variable. calculate the marginal density functions of the random vector.
3. For the following density function fxy (x,y) = k(x²- y²)e-y where the support of the vector is B, B = {(x, y) : 0 < y <∞, x < y} Calculate the following: a) k such that fxy is a function of density. b) The joint distribution function. c) The marginal density function for each variable. calculate the marginal density functions of the random vector.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:ФЫ В А ПРО В А П Р О Л ДЗАПРОЛДЖЭ
ЯЧСМИТНЧСМИТЬБНСМИТЬБю
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3. For the following density function
fxy(x,y) = k(x² - y²)e-u
where the support of the vector is B, B = {(x,y) : 0 <y <oo, |x| <y}
Calculate the following:
a) k such that fxy is a function of density.
b) The joint distribution function.
c) The marginal density function for each variable.
calculate the marginal density functions of the random vector.
ЙЦУКЕНГШУКЕНГШЩ ЗКЕНГШЩзхъ
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