Answered: Find the probability distribution of…

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. 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

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. Are X and Y dependent? Justify your answer.

Let X and Y have the following joint distribution:
X \Y
0
02/12
1
2
1
1/12 5/12
1/12 1/12 2/12

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Step 1: Given joint distribution of x and y:

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Step 2: Finding marginal distribution of X andY:

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Step 3: Finding P(X|Y=0), E(X|Y=0), E(X), E(Y)

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Step 4: For P(Y>0)

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