Homework1 - ST561 Fall 2010 Homework 1 Due Monday Oct 4th...

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

View Full Document Right Arrow Icon
ST561 Fall 2010 Homework 1 Due: Monday, Oct. 4th, 2010 Note: The first 4 exercises below are not to be handed in. Please make sure you can do them (and ask about them if you have questions). 1. Find the union A 1 S A 2 and intersection A 1 T A 2 of two sets A 1 and A 2 where (a) A 1 = { x : x = 1 , 2 , 3 } , A 2 = { x : x = 2 , 3 , 4 } (b) A 1 = { x : 0 < x < 1 } , A 2 = { x : 1 x < 3 } (c) A 1 = { ( x, y ) : 0 < x < 3 , 0 < y < 3 } , A 2 = { ( x, y ) : 1 < x < 4 , 1 < y < 4 } . 2. Find S k =1 A k if (a) A k = { x : 1 /k x < 2 - 1 /k } , k = 1 , 2 , 3 , . . . (b) A k = { ( x, y ) : 1 /k < x 2 + y 2 4 - 1 /k } , k = 1 , 2 , 3 , . . . 3. Find T k =1 A k if (a) A k = { x : 2 - 1 /k < x 2 } , k = 1 , 2 , 3 , . . . (b) A k = { x : 3 < x 3 + 1 /k } , k = 1 , 2 , 3 , . . . (c) A k = { ( x, y ) : 0 x 2 + y 2 < 1 /k } , k = 1 , 2 , 3 , . . . 4. Textbook P52, 1.3.5(iv). 5. Textbook P52, 1.3.6. 6. A man and a woman (unrelated) each have two children. At least one of the man’s children is a boy, and the woman’s younger child is a boy. Do the chances that the man has two boys equal the chances that the woman has two boys? 7. The following procedure was used in a survey of cheating on taxes. A taxpayer is selected at random among all Oregon taxpayers to be a subject in the survey.
Image of page 1

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

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern