Hw1 - A n are events and let B = ∩ ∞ n =1 b ∪ ∞ k = n A k B(a Show that B = x ∈ Ω x is an element of in±nitely many A ′ n s(b Use the

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Mathematics 170A – HW1 – Due Tuesday, January 17, 2012. Problems 1, 2, 5, 6, 7, 8, 9, 10 on pages 53–54. A. Show that if A and B n are events, then A ( n =1 B n ) = n =1 ( A B n ) in two diFerent ways: (a) Directly, without using De Morgan’s laws. (b) Using the result of Problem 3 on page 53. B. Suppose
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Unformatted text preview: A n are events, and let B = ∩ ∞ n =1 b ∪ ∞ k = n A k B . (a) Show that B = { x ∈ Ω : x is an element of in±nitely many A ′ n s } . (b) Use the result of Problem 13 on page 56 to show that if P ( A n ) = 2 − n for each n , then P ( B ) = 0. 1...
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This note was uploaded on 01/30/2012 for the course MATH 131a taught by Professor Hitrik during the Spring '08 term at UCLA.

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