Describes a mathematical game using a bingo format that allows students to explore the concepts of sample space, data interpretation, randomness, and theoretical probability while practicing addition skills. (YDS)

Provides an overview of the structure of data analysis, the interrelationship between data analysis and probability, and the connection between data analysis and other components of the mathematics curriculum. Presents a possible order for topics being consistent with modern statistical practice and allows the topics to grow as students moves…

Discusses some key statistical concepts in probabilistic and non-probabilistic sampling to provide an overview for understanding the inference process. Suggests a statistical model constituting the basis of statistical inference and provides a brief review of the finite population descriptive inference and a quota sampling inferential theory.…

The concept of consensus ordering is defined, and formulas for exact and approximate posterior probabilities for consensus ordering are developed under the assumption of a generalized Mallows' model with a diffuse conjugate prior. These methods are applied to a data set concerning 98 college students. (SLD)

Advantages and disadvantages of common ways to justify the answer to a probability problem are discussed. One explanation appears superior to the others because it is easy to understand, mathematically rigorous, generalizes to a broader class of problems, and avoids the deficiencies of the other explanations. (MNS)

A statistical model for citation processes is presented as a particular version of a nonhomogenous birth process. The mean value function and special transition probabilities, which can readily be calculated on the basis of known and estimated parameters, give essential information on the change of citation impact in time. (10 references) (KRN)

Expected value judgments of 5- through 10-year-olds were studied by having children view roulette-type games and make judgments of how happy a puppet playing the game would be. Even the youngest children showed some understanding of probability dependence, with children under eight using an additive integration rule and children eight and older…

A method of decision-analysis in pharmaceutical care that integrates epidemiology and economics is presented, including an example illustrating both the deceptive nature of medical decision making and the power of decision analysis. Principles in determining both general and specific probabilities of interest and use of decision trees for…

In many evaluations, presenting probability distributions of cost-effectiveness results offers a convenient way to show the likelihood of various conclusions given the uncertainties in the inputs. The techniques presented in this paper should be useful for many programs characterized by controversy over perspectives, assumptions, and dollar…

Examines ways to integrate a discussion of lotteries into a lesson on combinatorics and probability to enhance the teaching and learning of number sense. (Author/MKR)

Uses probability and Pascal's triangle to analyze the game Plinko from the game show "The Price Is Right." (MKR)

Presents a solution to the problem of finding the probability that a needle would cross a crack in a tile floor when dropped. (MKR)

Presents a brief historical sketch of the life and work of one of the founders of modern mathematical physics. Discusses three problem-solving applications of the Poisson distribution with examples from elementary probability theory. Provides background on two of his noteworthy results from the physics of oscillations and the deformation of rigid…

Analyzes how each of the three opponents could win on the game show "Jeopardy" regardless of their relative standing when they enter the Final Jeopardy round. Analyzes optimal strategies for each contestant using probabilities. (MKR)

A complete enumeration method and a Monte Carlo method are presented to calculate the probability distribution of arbitrary statistics of adjacency matrices when these matrices have the uniform distribution conditional on given row and column sums, and possibly on a given set of structural zeros. (SLD)