hw1solution - Math 62Probability & Statistics...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Math 62Probability & Statistics Summer 2004 Homework 1 Solutions 3. Consider a universal set consisting of the integers 1 through 10, or U = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 } . Let A = { 2 , 3 , 4 } , B = { 3 , 4 , 5 } , and C = { 5 , 6 , 7 } . By enumeration, list the membership of the following sets. (c) A B . If we simplify this using De Morgans Law, we have A B = A B = { 2 , 3 , 4 } { 3 , 4 , 5 } = { 2 , 3 , 4 , 5 } . (e) A ( B C ). This one is easier to do directly: A ( B C ) = { 2 , 3 , 4 } ( { 3 , 4 , 5 } { 5 , 6 , 7 } ) = { 2 , 3 , 4 } { 3 , 4 , 5 , 6 , 7 } = { 3 , 4 } = { 1 , 2 , 5 , 6 , 7 , 8 , 9 , 10 } . 7. Diodes from a batch are tested one at a time and marked either defective or nondefective. This is continued until either two defective items are found or five items have been tested. Describe the sample space for this experiment. If D and N represent defective and nondefective diodes respectively, then we can enumerate the sample space as S = { DD,DND,DNND,DNNND,DNNNN,NDD,NDND,NDNND,NDNNN,NNDD,NNDND, NNDNN,NNNDD,NNNDN,NNNND,NNNNN } ....
View Full Document

Page1 / 2

hw1solution - Math 62Probability & Statistics...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online