Unformatted text preview: (v) Could you Fnd P ( X + Y ) without knowing that X and Y are independent? (vi) ±ind the distribution of XY . ±ind P ( XY ) . (No cheating by using facts about independence that we have not yet established.) ±ind P ( X ) P ( Y ) . (vii) Could you Fnd P ( XY ) without knowing that X and Y are independent? (3.3) (general BorelCantelli converse) UGMTP Problem 2.2. You should interpret the assertion k X n /σ n k 2 → 1 to mean that P X 2 n /σ 2 n → 1 as n → ∞ . (3.4) (inner and outer regularity) UGMTP Problem 2.12. Note the typo in the deFnition of outer regularity: the µ F should be µ G ....
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This note was uploaded on 11/21/2009 for the course STAT 330 taught by Professor Davidpollard during the Spring '09 term at Yale.
 Spring '09
 DavidPollard
 Statistics, Probability

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