Solution: Consider the following joint probability mass function of two random variables X and Y: p(x, y) 1 2 3 4 1 0.1 0.1 0 0 2 0 0 0.2 0 3 0 0.4 0.2 0
Question: (20 points) Consider the following joint probability mass function of two random variables X and Y:
p(x, y) 1 2 3 4
1 0.1 0.1 0 0
2 0 0 0.2 0
3 0 0.4 0.2 0
- Find the following quantities: p(x), p(y), p(y|x), and E[YIX].
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What is your best estimate of Y given that X = 2. Justify your answer
Are X and Y independent? Justify your answer by checking if p(x, y) = p(x)p(y). You can also submit a counterexample.
Price: $2.99
Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document
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![(Solution Library) Show that E[ g(X^2)Y|X ]=g(X^2)E[](data:image/svg+xml,%3Csvg%20xmlns='http://www.w3.org/2000/svg'%20viewBox='0%200%20150%20150'%3E%3C/svg%3E "(Solution Library) Show that E[ g(X^2)Y|X ]=g(X^2)E[ Y|X")
(Solution Library) Show that E[ g(X^2)Y|X ]=g(X^2)E[ Y|X
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![(Solution Library) Show that E[ g(X^2)Y|X ]=g(X^2)E[](/images/solutions/MC-solution-library-77083.jpg "(Solution Library) Show that E[ g(X^2)Y|X ]=g(X^2)E[ Y|X")
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