• Title/Summary/Keyword: probability calculation

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A Study on the Effect of the Visualization in the Learning of Probability Calculation at a Middle School (중학교 확률계산학습에서 시각화활동의 효과에 대한 연구)

  • 권병주
    • Journal of the Korean School Mathematics Society
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    • v.2 no.1
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    • pp.43-53
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    • 1999
  • Two (second-grade) classes of Yu-song middle school were chosen to research the effect of the visualization in the learning of probability calculation at a middle school. One class, as an experiment class, was taught the probability calculation of probability unit by the visualization learning and the other, as a controlled class, was taught it by the traditional lecture, and then through the writing tests there was a verification on the effect of right after test and the delaying test after 3 weeks to examine the learning effect of high- and low-level groups. It was difficult for the students to visualize the problems of the probability calculation, but I suggested simple models to the students and helped them to learn meaningfully. As a result of this study, there showed statistically significant difference in high-level group in the right after test.(P< .05) In the delaying test after 3 weeks, there also showed statistically significant marks only in high-level group.(P< .05) The visualization in the learning of probability calculation took more affirmative effect in the experiment class than the comparative class only in high-level group. The students in low-level group has difficulties in the visualization activities, but all the students in high-and low-level group thought the visualization was a great help to them in learning probability calculation.

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Probability Calculation of Component or Subsystem Failure used by Bayes Formula (베이즈 정리를 이용한 부품 또는 서브시스템의 고장 확률 계산)

  • 이성철
    • Journal of the Korea Safety Management & Science
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    • v.3 no.2
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    • pp.123-131
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    • 2001
  • Reliability calculation of a system is frequently required in industrial, military, and everyday life situations. For such a calculation, it is necessary to specify the configuration of components and subsystems, the failure mode of each component, and the states in which the system is classified as failed. In this paper, we are primary interested in the time to the first failure of a system. And we discuss failure probability of coherent system under various condition, especially focus on probability calculation of subsystem failure before system failure used by Bayes formula. Problem statement and general applications illustrated by several examples.

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A Study on the Characteristics of the 8th grade Textbooks about Probability (중학교 2학년 확률 내용에 대한 고찰)

  • Byun, Hee-Hyun
    • Journal for History of Mathematics
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    • v.22 no.2
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    • pp.81-98
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    • 2009
  • Probability plays a very important role in modern society as an essential tool for solving various kinds of problems from our real life or scientific province. However, most of precedent studies on probability pointed out that many students had difficulties in understanding the nature of it, and that probability teaching method in the classroom is easily led only to calculation system, which is isolated from practical applications. In this paper, I make a close study further onto these themes, by analyzing the 8th grade textbooks through these following questions; how do the textbooks deal with calculation of probability that certain two events occur at the same time? On the practical basis, how do they make use of probability as a problem-solving instrument in both actual life and scientific fields? After these, I try to extract some features and issues of probability teaching method in current Korean textbooks.

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Expected Overtopping P개bability Considering Real Tide Occurrence

  • Kweonl, Hyuck-Min;Lee, Young-Yeol;Oh, Young-Min
    • Proceedings of the Korea Water Resources Association Conference
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    • 2004.05b
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    • pp.479-483
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    • 2004
  • A new calculation method of expected overtopping probability of rubble mound breakwater considering real tide occurrence has been proposed. A calculation method of expected overtopping probability of rubble mound breakwater was proposed by Kweon and Suh (2003). In their calculation, the fluctuation of tidal elevation was expressed by the sinusoidal change that yields the uniform distribution of occurrence frequency. However, the realistic distribution of tidal elevation should influence on the overtopping chance. In this study, the occurrence frequency of tidal elevation obtained from the real sea is included. The tidal elevation used in this study is collected from the east coastal part of Korean peninsular. Analyzing the annual data of the tidal fluctuation measured hourly during 355 days, the distribution of occurrence frequency is formulated utilizing by the normal distribution with one peak. Among the calculation procedures of annual maximum wave height, wave height-period joint distribution, wave run-up height and occurrence frequency of tide, only the annual maximum wave height is again chosen randomly from normal distribution to consider the uncertainty. The others are treated by utilizing the distribution function or relationship itself, It is found that the inclusion of the variability of tidal elevation has great influence on the computation of the expected overtopping probability of rubble mound breakwater. The bigger standard deviation of occurrence frequency is, the lower the overtopping probability of rubble mound breakwater is.

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Mean Life Assessment and Prediction of the Failure Probability of Combustion Turbine Generating Unit with Data Analytic Method Based on Aging Failure Data (통계적 분석방법을 이용한 복합화력 발전설비의 평균수명 계산 및 고장확률 예측)

  • Lee, Sung-Hoon;Lee, Seung-Hyuk;Kim, Jin-O
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.54 no.10
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    • pp.480-486
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    • 2005
  • This paper proposes a method to consider an aging failure probability and survival probability of power system components, though only aging failure probability has been considered in existing mean life calculation. The estimates of the mean and its standard deviation is calculated by using Weibull distribution, and each estimated parameters is obtained from Data Analytic Method (Type H Censoring). The parameter estimation using Data Analytic Method is simpler and faster than the traditional calculation method using gradient descent algorithm. This paper shows calculation procedure of the mean life and its standard deviation by the proposed method and illustrates that the estimated results are close enough to real historical data of combustion turbine generating units in Korean systems. Also, this paper shows the calculation procedures of a probabilistic failure prediction through a stochastic data analysis. Consequently, the proposed methods would be likely to permit that the new deregulated environment forces utilities to reduce overall costs while maintaining an are-related reliability index.

A New Methodology for the Rapid Calculation of System Reliability of Complex Structures

  • Park, Sooyong
    • Architectural research
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    • v.3 no.1
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    • pp.71-80
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    • 2001
  • It is quite difficult to calculate the collapse probability of a system such as statically indeterminate structure that has many possible modes or paths to complete failure and the problem has remained essentially unsolved. A structure is synthesized by several components or elements and its capacity to resist the given loads is a function of the capacity of the individual element. Thus it is reasonable to assess the probability of failure of the system based upon those of its elements. This paper proposes an efficient technique to directly assess the reliability of a complex structural system from the reliabilities of its components or elements. The theory for the calculation of the probability of a structural system is presented. The target requirements of the method and the fundamental assumptions governing the method are clearly stated. A portal frame and two trusses are selected to demonstrate the efficiency of the method by comparing the results obtained from the proposed method to those from the existing methods in the literature.

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On method calculation design flood elevation of esturial city

  • Wang Chao;Chao, Wang-Dong
    • Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
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    • 1996.10a
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    • pp.42-44
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    • 1996
  • Recently due to repeatedly occurrence of flood, a lot of Chinese cities accept new design criteria for their protective project Most of them calculated by a certain type of probability distribution. In order to meet the demand of development economy the return period of design criteria is changed more longer and longer even 1000years, but the data which the calculation dependent on is only about 30-40 years. (omitted)

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Calculation of the Detection Range for a Given Cumulative Probability in Airborne Surveillance Radars (탐색 레이다에서 누적확률에 기인한 탐지거리 계산에 관한 연구)

  • Kim, Eun Hee;Roh, Ji-Eun
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.29 no.1
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    • pp.24-27
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    • 2018
  • The performance measure of airborne radars is the range at which the cumulative probability of detection has some specified value, because the per-scan detection probability is an oscillatory function of the target range in airborne radars operating with the dynamic clutter environment. As a result, no one range, at which the per-scan detection probability has a given value, can give a meaningful description of the range performance. In this paper, we provide the equation to calculate the cumulative detection probability and show that the result of Monte Carlo simulation is same as the calculated value in a simple scenario. This verified Monte Carlo model will be used to evaluate the performance of airborne radars in various operating scenarios, at which the numerical calculation is difficult.

An Analysis of Bit Error Probability of Reed-Solomon/Convolutional Concatenated Codes (Reed-Solomon/길쌈 연쇄부호의 비트오율해석)

  • 이상곤;문상재
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.30A no.8
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    • pp.19-26
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    • 1993
  • The bit error probability of Reed-Solomon/convolutional concatenated codes can be more exactly calculated by using a more approximate bound of the symbol error probability of the convolutional codes. This paper obtains the unequal symbol error bound of the convolutional codes, and applies to the calculation of the bit error probability of the concatenated codes. Our results are tighter than the earlier studied other bounds.

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Calculating Mean Life of Generators with Aging failures Data Using Data Analytic Method (통계적 분석 방법을 이용한 발전설비의 평균수명 계산)

  • Lee Sung Hoon;Lee Seung Hyuk;Kim Jin O;Jeon Dong Hoon;Kim Tae Kyun
    • Proceedings of the KIEE Conference
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    • summer
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    • pp.464-466
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    • 2004
  • This paper proposes a method to consider an aging failure probability and survival probability of power system components unlike uses only aging failure probability in existing mean life calculation. The estimates of the mean and its standard deviation is calculated by using Weibull distribution and each estimated parameters is obtained from Data Analytic Method (Type II Censoring). The parameter estimation using Data Analytic Method is simpler and faster than a traditional calculation method. This paper shows how to calculate the mean life and its standard deviation by the proposed method and illustrates a exactness using real historical records of generator utilities in korea.

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