Suppose Yi = 1, 2, . . . , n, are i.i.d. random variables, each distributed N(10,
Question:
(a) Compute Pr(9.6 ≤ ≤ 10.4) when (i) n = 20, (ii) n = 100, and (iii) n = 100f).
(b) Suppose c is a positive number. Show that Pr(10 - c ≤ ≤ 10 + c) becomes close to 1.0 as n grows large.
(c) Use your answer in (b) to argue that converges in probability to 10.
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Related Book For
Introduction to Econometrics
ISBN: 978-0133595420
3rd edition
Authors: James H. Stock, Mark W. Watson
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