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The Nature of Mathematics – 13th Edition

Individual Research Projects

Individual Research Project Section 15.2

September 29, 2015July 22, 2015 by elaine

Project 15.1

This problem is a continuation of Problem 60, Section 15.2. A player’s batting average really isn’t simply the ratio h/a . It is the value of h/a rounded to the nearest thousandth. It is possible that a batting … See the whole entry

Categories Chapter 15, Individual Research Projects

Individual Research Project Section 14.4

September 29, 2015July 21, 2015 by elaine

Project 14.10

Select something that you think might be normally distributed (for example, the ring size of students at your college). Next, select 100 people and make the appropriate measurements (in this example, ring size). Calculate the mean and standard … See the whole entry

Categories Chapter 14, Individual Research Projects Tags Bar graphs, Graph, Mean, Standard deviation

Individual Research Projects Section 14.2

September 29, 2015July 21, 2015 by elaine

Project 14.3

If you roll a pair of dice 36 times, the expected number of times for rolling each of the numbers is given in the accompanying table. A graph of these data is shown.

  1. Find the mean, the variance,
… See the whole entry
Categories Chapter 14, Individual Research Projects Tags Fisher, Galton, Nightingale, Pearson, Quetelet, Statistics

Individual Research Projects Section 14.1

September 29, 2015July 21, 2015 by elaine

Project 14.1

“You can clearly see that Bufferin is the most effective… ”
“Penzoil is better suited … ”
“Sylvania was preferred by … .”

“How can anyone analyze the claims of the commercials we see and hear on a … See the whole entry

Categories Chapter 14, Individual Research Projects Tags Graphs, Statistics

Individual Research Projects Section 13.4

September 29, 2015July 20, 2015 by elaine

Project 13.5

Do some research on Keno probabilities. Write a paper on playing Keno.

Reference:
Karl J. Smith, “Keno Expectation,” Two-Year College Mathematics Journal, Vol. 3, No. 2,Fall 1972.

Project 13.6

Consider the following classroom activity. Suppose the … See the whole entry

Categories Chapter 13, Individual Research Projects Tags Keno, Odds

Individual Research Projects Section 13.2

September 29, 2015July 20, 2015 by elaine

Project 13.3

The questions in this problem are from a study by MacCrimmon, Stanbury, and Wehrung, “Real Money Lotteries: A Study of Ideal Risk, Context Effects, and Simple Processes,” in Cognitive Processes in Choice and Decision Behavior, edited by Thomas … See the whole entry

Categories Chapter 13, Individual Research Projects Tags Odds

Individual Research Projects Section13.1

September 29, 2015July 20, 2015 by elaine

Project 13.1

Devise a fair scheme for eliminating coins in this country.

Here is an alternative question:
Michael Rossides has come up with a scheme for eliminating coins. This scheme involves probability and the fact that most cash registers today … See the whole entry

Categories Chapter 13, Individual Research Projects Tags Probability

Individual Research Projects Section 12.4

September 29, 2015July 17, 2015 by elaine

Project 12.2

How can all the constructions of Euclidean be done by paper folding? What assumptions are made when paper is folded to construct geometric figures from Euclidean geometry?

What is orgami?
What is a hexaflexagon? How many flexes are … See the whole entry

Categories Chapter 12, Individual Research Projects Tags Instant insanity, Rubik's Cube

Individual Research Project Section 12.3

September 29, 2015July 17, 2015 by elaine

Project 12.1

Write a paper on the famous Tower of Hanoi problem.

When my daughter was 2 years old, she had a toy that consisted of colored rings of different sizes:
w10-3
Suppose you wish to move the “tower” from stand … See the whole entry

Categories Chapter 12, Individual Research Projects

Individual Research Projects Section 11.5

September 29, 2015July 16, 2015 by elaine

Project 11.8

Outline a program for your own retirement. In the process of writing this paper answer the following questions. You will need to state your assumptions about interest and inflation rates.

  1. What monthly amount of money today would provide
… See the whole entry
Categories Chapter 11, Individual Research Projects Tags Inflation, Interest
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