Suppose that the following table represent the joint probability distribution of the discrete random variable (X,Y) Y\X 1 2 3 1 1/12 1/6 0 2 0 1/9 1/5 3 1/18 1/4 2/15 Compute g(x),h(y), f(x|y) and f(y|x)

Suppose that the following table represent the joint probability distribution of the discrete random variable (X,Y) Y\X 1 2 3 1 1/12 1/6 0 2 0 1/9 1/5 3 1/18 1/4 2/15 Compute g(x),h(y), f(x|y) and f(y|x)

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

Suppose that the following table represent the joint probability distribution of the discrete random variable (X,Y)

Y\X	1	2	3
1	1/12	1/6	0
2	0	1/9	1/5
3	1/18	1/4	2/15

Compute g(x),h(y), f(x|y) and f(y|x)
Decide whether X and Y are independent.

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