Q NO 2: (a) Let x and y be two discrete random variables with the following joint probability distribution y\x 1 1 2 3 1 1 - 12 2 1 9. 1 3 1 2 18 4. 15 Find the marginal probability density functions g(x) and h(y). Find the conditional probability density functions f(x\y) and f(y|x). (i) (ii) H16119

Q NO 2: (a) Let x and y be two discrete random variables with the following joint probability distribution y\x 1 1 2 3 1 1 - 12 2 1 9. 1 3 1 2 18 4. 15 Find the marginal probability density functions g(x) and h(y). Find the conditional probability density functions f(x\y) and f(y|x). (i) (ii) H16119

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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Q NO 2: (a) Let x and y be two discrete random variables with the following
joint probability distribution
y\x
1
1
1
1
12
2
1
3
1
18
Find the marginal probability density functions g(x) and
h(y).
Find the conditional probability density functions f(x\y)
and f(y|x).
(i)
(ii)
(b) Given the joint density function of the r.v. (X,Y) as
f(x, y) =
[3x² + 3xy², for 0 <x< 1, 0 <y<1.
{*
0,
elsewhere.
Find the marginal and conditional density functions. Also find the conditional
probability P< x <
- I52 5

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