This preview shows page 1. Sign up to view the full content.
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
This is the end of the preview. Sign up
to
access the rest of the document.
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...
View
Full
Document
This note was uploaded on 01/30/2012 for the course MATH 131a taught by Professor Hitrik during the Spring '08 term at UCLA.
 Spring '08
 hitrik
 Math

Click to edit the document details