hwk1 - A-B )-C . Is it the same as any of the following...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
UNIVERSITY OF CALIFORNIA, SANTA BARBARA Department of Electrical and Computer Engineering ECE 139 Probability and Statistics Spring 2008 Homework Assignment #1 (Due on Monday 4/7/2008 by 6 pm in the Homework Box ) Problem # 1 . Solve 1.2.1 in the text. Problem # 2 . Solve 1.2.2 Problem # 3 . An experiment consists of a single roll of a die. DeFne sets (events): A = { outcome is greater than 3 } and B = { outcome is odd } . Specify: a) The sample space S . b) A B c) A B d) A - B e) A c B c Problem # 4 . The di±erence set operation: a) Does A - B = A - C imply that B = C ? Justify. b) Consider the set (
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: A-B )-C . Is it the same as any of the following sets: A-( B-C ), ( A-C )-B , or A-( B C )? Justify. Problem # 5 . Use the associative, distributive, De Morgan, or other laws to show that: a) [ A ( B C )] c = ( A c B c ) ( A c C c ) b) ( A B C ) c = A c B c C c Also check the validity using Venn diagrams. Problem # 6 . Subsets: a) Given A = { a,b,c } , write out all its subsets. b) Let B be a set of N elements. Prove that it has 2 N subsets....
View Full Document

Ask a homework question - tutors are online