lecture3.add - Which model does the God use Consider the...

Info icon This preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
Which model does the God use? Consider the experiment when two dice are tossed. If the dice are identifiable, the sample space has 36 sample points. If the dice are not-identifiable, the sample space has 21 points. If each outcome is equally likely, what is the probability that the outcome is (1, 1)? () January 13, 2011 1 / 17
Image of page 1

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

View Full Document Right Arrow Icon
Which model does the God use? Assuming identifiability: the answer is 1/36 = 2.8%; Assuming non-identifiability: the answer is 1/21 = 4.8%; () January 13, 2011 2 / 17
Image of page 2
Which model does the God use? Assuming identifiability: the answer is 1/36 = 2.8%; Assuming non-identifiability: the answer is 1/21 = 4.8%; We may reveal this secrete by experimentation. () January 13, 2011 2 / 17
Image of page 3

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

View Full Document Right Arrow Icon
Which model does the God use? Help to toss the pair of dice 20 times, and keep a record of how many times the outcome is (1, 1); and how many times the sum is 4. Give it to student behind you to repeat it again. My calculation indicates that we need about 1000 tosses to be able to tell a difference of 1%. Let us work hard. () January 13, 2011 3 / 17
Image of page 4
Dancing party problem Ten boys brought their girlfriends to have a party. When the music starts, each boy randomly invited a girl to dance. What is the probability that none of them were dancing with his own girlfriend? () January 13, 2011 4 / 17
Image of page 5

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

View Full Document Right Arrow Icon
Dancing party problem By randomly inviting, we assumed that each girl is equally likely to dance with each of the ten boys.
Image of page 6
Image of page 7
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