Question

Asked Aug 20, 2019

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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

Step 1

**Introduction:**

For a particular value of *n*, *P* (*Z _{n}* =

Step 2

**Calculation:**

The expectation, as *n* tends to infinity, ...

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