Let Z1,...,Zn be a sequence of random variables. For every n = 1, 2;..., P(Zn =n^2) = 1/n, and P(Zn = 0) = 1 - 1/n. In other words, Zn is binary. Show that(a) limit as n goes to infinity E(Zn)= infinity

Linear Algebra: A Modern Introduction
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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Let Z1,...,Zn be a sequence of random variables. For every n = 1, 2;..., P(Zn =
n^2) = 1/n, and P(Zn = 0) = 1 - 1/n. In other words, Zn is binary. Show that
(a) limit as n goes to infinity E(Zn)= infinity

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