4)The joint density function of the random variables X and Y is given byS8xy 0 s xs 1,0 s ys xf(x, y) =otherwiseFind (a) the marginal density of X, (b) the marginal density of Y, (c) the conditional density of X, (d) theconditional density of Y.

Marginal density of x is given by, f(x)= integration |y f(x,y) dy = Integration |0x 7xy dy =…

The joint density function of the random variables X and Y is given by S8xy 0 sxs 1,0 sy < x f(x, y) = 1o otherwise Find (a) the marginal density of X, (b) the marginal density of Y, (c) the conditional density of X, (d) the conditional density of Y.

The joint density function of the random variables X and Y is given by S8xy 0 sxs 1,0 sy < x f(x, y) = 1o otherwise Find (a) the marginal density of X, (b) the marginal density of Y, (c) the conditional density of X, (d) the conditional density of Y.

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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4)
The joint density function of the random variables X and Y is given by
S8xy 0 s xs 1,0 s ys x
f(x, y) =
otherwise
Find (a) the marginal density of X, (b) the marginal density of Y, (c) the conditional density of X, (d) the
conditional density of Y.

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