What is the asymptotic distribution of anbn, Econometrics

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What is the asymptotic distribution of anbn

Problem

Suppose that A_nis a random variable that converges in probability to 3. Suppose that B_n is random variable that converges in distribution to a standard normal. What is the asymptotic distribution of A_nB_n? Use this asymptotic distribution to compute an approximated value of Pr(A_nB_n<>.

The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.

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Econometrics: What is the asymptotic distribution of anbn

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