"Pure chance is now considered to lie at the very heart of nature, and one of the greatest triumphs of human intellect during the last century has been the discovery of how the operation of chance, synonymous as it is with chaos and randomness, leads to so much structure, order, and regularity in the Universe." -- (Brian S. Everitt, London, August 1999)
Sofia Kovalevskaya (Russia, 1850-1891): Despite many prejudices against women, Kovalevskaya was able to receive a good education because of the wealth of her family. She became one of the nineteenth century's most important mathematicians in addition to making significant contributions in the fields of science, poetry, and literature. She wrote novels about the hardships of life in Russia and worked to improve educational opportunities for women. Among many other things, she discovered that the rings of Saturn are egg-shaped ovals (not ellipses).
What does Herkimer call writer's cramp?
Things Herky would like to know:
Are Venetian blinds made by shady characters?
How come you can catch a cold, but you can't catch a warm?
Reading: YMM text, Section 8.1, pages 414- 427.
Exercises: None (just take time to understand the reading).
You are in Section 8.1.
The binomial probability formula (YMM page 426,Cartoon Guidepage 76) uses the notation (
The binomial setting is described on page 416. Ilike to simply the explanation a bit and think in terms of slots. Ina binomial setting, you have a specified number of slots with thesame probability of filling each slot. For instance, if I roll a diefive times, we can ask "What is the probability that I will getexactly two 6's?" Note that each roll isindependent of any other roll. OK, thinkof five slots:
The probability that I fill any slot with a 6 is1/6. I want to fill exactly two of the slots. The probability that Ifill exactly two of the five slots with a 6 is
5C 2(1/6) 2(5/6) 3= 0.16075, or about16%.
Using the TI-83,
Since we are on a roll (pun intended), we willjust note here that
LINK TO SECTIONSUMMARIES
LINK TO STATISTICS HOMEPAGE
The Practice of Statistics, by Yates, Moore, McCabe. New York,W.H. Freeman and Company, 1999. (ISBN 0-7167-3370-6)
The Cartoon Guide to Statistics, by Gonick and Smith. NewYork, HarperCollins Publishers, 1993. (ISBN 0-06-273102-5)
How to Lie with Statistics, by Darrell Huff. New York, W.W.Norton & Company, 1982 (ISBN 0-393-09426-X)
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