"Without the concepts, methods and results developed by previous methods right down to Greek antiquity one cannot understand either the aims or achievements of mathematics in the last 50 years." - (Hermann Weyl, 1885-1955) Srinivasa Ramanujan (1887-1920): Born in India and primarily self-educated, he produced amazing mathematical results that, when discovered, boggled the minds of modern mathematicians. Incredibly, his work was not well known until 1976 when 130 pages of his scribbled material were discovered in a box of letters and bills in the library of Trinity College in Cambridge. Since then mathematicians have been studying these notes (known as the Lost Notebook ) and hundreds of other handwritten pages of Ramanujan's notes found after his death. Ramanujan had jotted down thousands of formulas, almost always without proof or even a hint of where they came from. Some of Ramanujan's assertions have yet to be proved, but most have been established as valid and useful in modern mathematics, including computer technology. (The main character in the movie Good Will Hunting is patterned after Ramanujan, and Ramanujan's name is mentioned multiple times in the film.) Why did Herkimer put a pill under his pillow? Answer: Someone told him it was a cold pill. Herky wants to know: Do you insult a person who dismantles roofs if you call him an eavesdropper? If you are pretending to be sick while it is raining, are you being untruthful if you say that you are "under the weather?" ASSIGNMENT #80 Reading: Review Chapter 12, as necessary. Exercises: Test 12B (handout in class).

You are working in Chapter 12.

OK, just throwing out a review thoughthere...

Let x be a random variable that can assume thevalues 4, 6, and 11 according to the indicated probabilities:

 x 4 6 11 Probability 0.2 0.3 0.5

mx = (4)(.2) + (3)(.6) + (11)(.5) = 8.1

s2x = (4 - 8.1)2(.2) + (6 - 8.1)2(.3) + (11 -.8.1)2(.5) = 8.89

sx = sqrt(8.89) =2.9816

The appropriate meanand variance formulas appear on theAP Formula Sheet.

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Text:
The Practice of Statistics, by Yates, Moore, McCabe. New York,W.H. Freeman and Company, 1999. (;l 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)