{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

MIT6_042JF10_rec19

MIT6_042JF10_rec19 - 6.042/18.062J Mathematics for Computer...

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
6.042/18.062J Mathematics for Computer Science November 19, 2010 Tom Leighton and Marten van Dijk Problems for Recitation 19 1 Bayes’ Rule Bayes’ Rule says that if A and B are events with nonzero probabilities, then: Pr { A | B } · Pr { B } = Pr { B | A } · Pr { A } a. Prove Bayes’ Rule. b. A weatherman walks to work each day. Some days it rains: Pr { rains } = 0 . 30 Sometimes the weatherman brings his umbrella. Usually this is because he predicts rain, but he also sometimes carries it to ward off bright sunshine. Pr { carries umbrella } = 0 . 40 As a weatherman, he usually doesn’t get caught out in a storm without protection: Pr { carries umbrella | rains } = 0 . 80 Suppose you see the weatherman walking to work, carrying an umbrella. What is the probability of rain? Use Bayes’ Rule.
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
Recitation 19 2 2 DNA Profiles Suppose that we create a a national database of DNA profiles. Let’s make some (overly) simplistic assumptions: Each person can be classified into one of 20 billion different “DNA types”. (For ex- ample, you might be type #13,646,572,661 and the person next to
Image of page 2
Image of page 3
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