Let Z1, Z2, be a sequence of random variables, and suppose that, for n 1, 2, , the distribution of Yn is as follows Pr(Yn n2) 1 n and Pr(Yn 0) 1 1 n Show that lim E(Zo but Z

Question: Let Z1, Z2, . . . be a sequence of random variables, and suppose that, for n = 1, 2, . . . , the

Let Z1, Z2, . . . be a sequence of random variables, and suppose that, for n = 1, 2, . . . , the of Yn is as follows:
Pr(Yn = n2) = 1/n and Pr(Yn = 0) = 1ˆ’ 1/n.
Show that

lim E(Zo but Z

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