Basic Urn Model
In this basic urn model in probability theory, the urn contains x white and y black balls, well-mixed together. One ball is drawn randomly from the urn and its color observed; it is then placed back in the urn (or not), and the selection process is repeated.
Possible questions that can be answered in this model are:
- Can I infer the proportion of white and black balls from n observations? With what degree of confidence?
- Knowing x and y, what is the probability of drawing a specific sequence (e.g. one white followed by one black)?
- If I only observe n white balls, how sure can I be that there are no black balls? (A variation on the first question)
Read more about this topic: Urn Problem
Famous quotes containing the words basic and/or model:
“The basic difference between classical music and jazz is that in the former the music is always greater than its performance—Beethoven’s Violin Concerto, for instance, is always greater than its performance—whereas the way jazz is performed is always more important than what is being performed.”
—André Previn (b. 1929)
“The best way to teach a child restraint and generosity is to be a model of those qualities yourself. If your child sees that you want a particular item but refrain from buying it, either because it isn’t practical or because you can’t afford it, he will begin to understand restraint. Likewise, if you donate books or clothing to charity, take him with you to distribute the items to teach him about generosity.”
—Lawrence Balter (20th century)