Let X and Y have the following joint distribution: X \Y 0 1 2 0 2/12 1/12 5/12 1 1/12 1/12 2/12 (a) Find the probability distribution of X|Y = 0, and E[X|Y = 0]. (b) Find E[Y ] and E[X]. (c) Find the probability that Y is larger than zero. (d) Are X and Y dependent? Justify your answer

Let X and Y have the following joint distribution: X \Y 0 1 2 0 2/12 1/12 5/12 1 1/12 1/12 2/12 (a) Find the probability distribution of X|Y = 0, and E[X|Y = 0]. (b) Find E[Y ] and E[X]. (c) Find the probability that Y is larger than zero. (d) Are X and Y dependent? Justify your answer

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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Let X and Y have the following joint distribution:
X \Y 0 1 2
0 2/12 1/12 5/12
1 1/12 1/12 2/12
(a) Find the probability distribution of X|Y = 0, and E[X|Y = 0].
(b) Find E[Y ] and E[X].
(c) Find the probability that Y is larger than zero.
(d) Are X and Y dependent? Justify your answer

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