"The mathematician is fascinated with the marvelous beauty of the forms he constructs, and in their beauty he finds everlasting truth." -- (J. B. Shaw, Mathematical Maxims and Minims, 1988) Girolamo Cardano (1501-1576): Born in Italy, Cardano was an unprincipled mathematical genius whose greatest work, Ars Magna , is one of the most important treatises ever written on algebra. During his turbulent life he was imprisoned for heresy because he published a horoscope of Christ's life. A frequent gambler, he was eventually to become known as a founder of probability theory. He became involved in a famous dispute with another Italian mathematician, Niccolo Tartaglia of Brescia (1499-1577) over the discovery of solution methods for cubic equations. Both men contributed much to the development of mathematics. What does Herkimer call a crazy man who inflates balloons? Answer: A balloon-atic. Herky's friends: PETER DOUT...this guy usually gets tired very quickly. NICK O'TEEN ...a nice guy with a bad habit. ASSIGNMENT #41 Reading: Section 7.1 (pages 374 - 379, plus SUMMARY on page 380). In the Cartoon Guide to Statistics, read pages 53 - 65. On the homepage for Herkimer's Hideaway, choose Writings and Reflections... and read the article on Roulette. Exercises: Review the statistical analysis of THREE DICE GAME and ROULETTE. Think about exam-related project (handout provided).

You are in Section 7.1.

On the AP STATISTICS FORMULA SHEET (gold handoutfrom first day of class), note the formulas under the heading (II)Probability. You have here the formulas

Prob(A or B) = Prob(A)+Prob(B) -Prob(A and B)

Prob(A|B) = Prob(A and B)/Prob(B)

E(X) = mx = Sum(xipi) ... Note that this was used in THREE DICE GAME andROULETTE

Var(X) = sx2 = Sum[(xi- mx)2pi] ... We haven't seen this yet, butnote that the formula involves squaring deviations from themean.

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Text:
The Practice of Statistics, by Yates, Moore, McCabe. New York,W.H. Freeman and Company, 1999. (ISBN 0-7167-3370-6)

Supplemental books:
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)