Skip to main content

Home/ NYU Probability Summer 2009/ Group items tagged binomial

Rss Feed Group items tagged

Filter: All | Bookmarks | Topics Simple Middle
bouchra alami

using the poisson distribution to approximate the binomial distribution - 0 views

courses.wcupa.edu/...section5_6.pdf

v63.0233.2009su (poisson distribution)

shared by bouchra alami on 20 Jul 09 - No Cached
  • bouchra alami on 20 Jul 09
     
    using the poisson distribution to approximate the binomial distribution
Matthew Leingang

Some Really Hard Probability Problems - 0 views

ocw.mit.edu/...prob.pdf

shared by Matthew Leingang on 21 Jul 09 - No Cached
  • Marc Tourangeau on 21 Jul 09
     
    I pulled this up from the MIT Open CourseWare page under their Problem Solving class. I think they use problems of this caliber to prepare for the Putnam exam.
  • ...2 more comments...
  • Sam V on 21 Jul 09
     
    I wonder if we as a class could take on this one... 3. An unfair coin (probability p of showing heads) is tossed n times. What is the probability that the number of heads will be even?
  • Matthew Leingang on 21 Jul 09
     
    That's a great idea. First, try it for specific values of n. If n=1, then the number of heads is even if it's 0, so P(even) = 1-p. If n=2, you could have 0 or 2 heads, so P(even) = (1-p)^2 +p^2 = 1-2p. Obviously there's going to be some kind of binomial identity, but what?
  • Matthew Leingang on 22 Jul 09
     
    OK, I now know two ways to solve this. The first way was along the lines you described in the break to me, Sam. It makes more sense than I originally thought, and with your Discrete Math knowhow you might be able to solve it. There's also a clever way, which I admit I didn't figure out until I solved it the other way.
  • Matthew Leingang on 22 Jul 09
     
    That's a great list of problems btw!
1 - 3 of 3
Showing 20▼ items per page