• Journal of applied mathematics & informatics
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• v.24 no.1_2
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• pp.529-534
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• 2007

We obtain an explicit expression of the loss probability for the PR/M/1/K queue when the offered load is strictly less than one.

• Research in Mathematical Education
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• v.15 no.2
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• pp.127-140
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• 2011

"Statistical literacy" is important to be an effective citizen ([Gal, I. (2005). Towards "probability literacy" for all citizens: Building blocks and instructional dilemmas. In: G. A. Jones (Ed.), Exploring probability in school: Challenges for teaching and learning (pp. 39-63). New York: Springer]). Probability and statistics has been connected with real context and can be used to stimulate students' creative abilities. This study aims at identifying the extent that textbooks in three countries include experimental probability concepts and non-routine, open-ended, application and contextual problems. How well textbooks reflect real application situations is important in the sense that students can employ probability concepts when solving real world problems. Results showed that three textbook series did not mention experimental probability. Furthermore, all of text-books had more routine, close-ended, knowing, and non-contextual problems.

• Journal of Families and Better Life
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• v.24 no.5 s.83
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• pp.251-270
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• 2006

This study examined how the households used and combined financing sources to pay for college education. It compared the probability of using each source (current incomes, saving, education loans and grants) by households' socio-economic characteristics and analyzed which factors influence the decision to use each source and the amounts from each source for financing college education. Data for this study were from a questionnaire completed by 4-year college students (n=623) and were analyzed by t-tests, ANOVA and Heckman's two-step estimation models. The findings of this study were as follows: First, the most frequent source for college education was parents' savings and the second one was parents' incomes. Also, the most frequent combination of sources was saving and current incomes and the second was combination of three sources, saving, incomes and education loans. Second, the probability of using incomes was higher for younger students than for older students. The number of siblings showed significant differences among income, savings and education loans. Those who had higher incomes were more likely to use current incomes, saving, but less likely to borrow for financing college education. Middle-class income groups were more likely to borrow for education. Third, household incomes and asset holdings had generally positive impacts on the probability of using incomes and savings for college education, while total debt burden decreased both the probability and amounts of income and saving sources. The college costs had significantly positive effects on both the probability and the amounts of all of financing sources. Total grants received significantly decreased the amounts from incomes, savings and borrowing sources.

• Journal of the Korean Data and Information Science Society
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• v.18 no.4
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• pp.1065-1071
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• 2007

A partial amendment of probability and statistics education in Korea has carried out from January, 2007. We have compared between the patial amendment and 7th national mathematics curriculum. Some ideas are proposed to achieve goals of the revision; textbooks of mathematics are well supervised by well-trained statisticians and teachers are periodically trained for the statistical knowledge.

• Journal of applied mathematics & informatics
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• v.22 no.1_2
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• pp.273-283
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• 2006

We obtain an asymptotic behavior of the loss probability for the GI/PH/1/K queue as K tends to infinity when the traffic intensity p is strictly less than one. It is shown that the loss probability tends to 0 at a geometric rate and that the decay rate is related to the matrix generating function describing the service completions during an interarrival time.

• The Korean Journal of Applied Statistics
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• v.22 no.4
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• pp.829-854
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• 2009

Because the probability education in the elementary statistics course is the starting part of the inferential statistics, it is hard to follow the lecture for undergraduate students. In this paper, we suggest the useful cases for the probability education in the elementary statistics course and give the corresponding R scripts.

• Journal of the Korean Chemical Society
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• v.47 no.2
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• pp.165-174
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• 2003

The purposes of this study were to investigate the correlation between the cognitive level and the probabilistic thinking level and to analyze the effects of the probability activities in Thinking Science (TS) program on the development of probabilistic thinking. The 219 7th grade students were sampled in the middle school and were divided into an experimental group and a control group. The probability activities in TS program were implemented to the experimental group, while only normal curriculum was conducted in the control group. The results of this study showed that most of 7th grade students were in the concrete operational stage and used both subjective and quantitative strategy simultaneously in probability problem solving. It was also found that the higher the cognitive level of the students, the higher the probabilistic thinking level of them. The sample space and the probability of an event in the constructs of probability were first developed as compared to the probability comparisons and the conditional probability. The probability activities encouraged the students to use quantitative strategy in probability problem solving and to recognize probability of an event. Especially, the effectiveness was relatively higher for the students in the mid concrete operational stage than those in any other stage.

• Journal for History of Mathematics
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• v.31 no.5
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• pp.251-269
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• 2018

Empirical probability and classical probability, which are two interpretations of Kolmogorov's axiom, are two ways to recognize the chances of events occurring in the real world. In this paper, I analyzed and suggested the contents of the high school textbooks ${\ll}$Probability and Statistics${\gg}$, associated with two interpretations of probability and experiments on which two interpretations are based. By presenting the cases required expressly stating what the experiment is for supporting students' understanding of some concepts, it was discussed that stating or not stating what the experiment is should be carefully determined by the educational intent. Especially, I suggested that in the textbooks we contrast the good idea of calculating the ratios of two possibilities in the imaginary world of the classical probability with the normal idea of grasping the chances of events through the frequencies in the real world of the empirical probability, with distinguishing the experiments in two interpretations of probability. I also suggested that in the textbooks we make it clear that the Weak Law of Large Numbers justifies our expectations of the frequencies' reflecting the chances of events occurring in the real world under ideal conditions. Teaching and learning about the aesthetic elements and the practicality of imaginary mathematical thinking supported by these textbooks statements could be one form of Humanities education in mathematics as STEAM education.

• Communications for Statistical Applications and Methods
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• v.7 no.1
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• pp.337-356
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• 2000

In Korea mathematics education of middle school has been taken according to the 6th national mathematics curriculum which was renovated by the Ministry of Education announcement in 1992. The eight middle school mathematics textbooks are composed of under this curriculum The education of probability and statistics has been carried out as a part of statistics education centering around middle school's mathematics textbooks.

• Journal of Family Resource Management and Policy Review
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• v.6 no.2
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• pp.133-142
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• 2002

The purpose of this study was to compare characteristics between the parents who saved money for their children's college education and those who did not, in an effort to identify the factors influencing the decision to save. From 1998 Survey of Consumer Finances (SCF), a sample of 1,085 family households was employed. Logistic regression analysis was used to examine the probability of saving for college education. The results showed that higher incomes and financial assets significantly increased the probability of saving for children's college education. The married couples who had higher education and larger household sizes were more likely to save. The age of the youngest child was a significant positive factor in the probability of saving for college education