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The joint density function is given below; Find the marginal density function for X and Y random variable "check image

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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Question

The joint density function is given below;

Find the marginal density function for X and Y random variable "check image"

Consider the joint density function given below
fay(z, y) = { k(z + y)
-1<r< 3, –1 < y < 3,
otherwise.
Find the marginal density function for X and Y random variable.
+!
-1<a< 3,
f.(z) =
2
otherwise.
-1sy<3,
otherwise.
f,(u) =
o b. f(z) =
-1<a< 3,
otherwise.
5,(4) = {
-1<y5 3,
otherwise.
-1<a < 3,
otherwise.
-1<y5 3,
otherwise.
f,(1)
-1<1< 3,
1
Od.
f:(x) =
3
5
otherwise.
-1<y<3,
f,(4)
3
otherwise.
-1<a<3,
* f.(z) ·
%3D
otherwise.
-1<y< 3,
S,(1) = { 5
otherwise.

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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