marginal probability

简明释义

边际概率,边缘机率

英英释义

例句

1.The marginal probability 边际概率 of rolling a three on a six-sided die is 1/6.

在一个六面骰子上掷出三的边际概率是1/6。

2.In a survey, the marginal probability 边际概率 of respondents being satisfied with their jobs can help identify overall trends.

在一项调查中，受访者对工作满意的边际概率可以帮助识别整体趋势。

3.In Bayesian statistics, the marginal probability 边际概率 is crucial for updating beliefs based on new evidence.

在贝叶斯统计中，边际概率对于根据新证据更新信念至关重要。

4.Calculating the marginal probability 边际概率 of an event helps in understanding its likelihood independent of other events.

计算事件的边际概率有助于理解该事件独立于其他事件的可能性。

5.The marginal probability 边际概率 of a student passing a course can be influenced by various factors such as attendance and participation.

学生通过课程的边际概率可能会受到出勤和参与等多种因素的影响。

作文

In the realm of statistics and probability theory, understanding different types of probabilities is essential for analyzing data effectively. One such concept is marginal probability, which refers to the probability of an event occurring without consideration of other variables. This concept is particularly useful when we are dealing with joint probabilities, which involve two or more events happening simultaneously. To better grasp the idea of marginal probability, let us consider an example involving students in a school.Imagine a school where students can participate in various extracurricular activities, such as sports, music, and art. Suppose we want to analyze the probability that a student participates in sports. If we have data on the total number of students and the number of students participating in sports, we can calculate the marginal probability of a student being involved in sports, regardless of whether they also participate in other activities.To illustrate this further, let’s assume there are 100 students in total, and 40 of them participate in sports. The marginal probability of a student participating in sports would be calculated as follows: P(Sports) = Number of students participating in sports / Total number of students = 40/100 = 0.4. Hence, the marginal probability of a student participating in sports is 0.4, or 40%. This means that if we randomly select a student from this school, there is a 40% chance that they will be involved in sports.Now, let’s expand our analysis to include students who also participate in music. If we know that 20 students participate in both sports and music, we can still find the marginal probability of participating in sports. The overlap does not affect the marginal probability calculation since it only considers the total number of students involved in sports, irrespective of their involvement in other activities.Understanding marginal probability is crucial in various fields, including economics, medicine, and social sciences. For instance, in medical research, researchers might want to determine the probability of patients having a specific condition without considering other underlying factors. This allows for a clearer understanding of the prevalence of that condition within a population.Moreover, marginal probability can be used in decision-making processes. For example, businesses often use this concept to assess the likelihood of sales based on historical data. By calculating the marginal probability of customers purchasing a particular product, companies can better strategize their marketing efforts and inventory management.In conclusion, marginal probability plays a vital role in statistical analysis and decision-making. It provides a simplified view of the likelihood of a single event occurring, independent of other variables. By mastering the concept of marginal probability, individuals can enhance their analytical skills and apply these principles effectively in various domains, from academic research to practical business applications. Understanding this fundamental aspect of probability theory is essential for anyone looking to delve deeper into the world of statistics and data analysis.

在统计学和概率论领域，理解不同类型的概率对于有效分析数据至关重要。其中一个概念是边际概率，它指的是在不考虑其他变量的情况下某事件发生的概率。当我们处理联合概率时，这个概念尤为有用，联合概率涉及两个或多个事件同时发生。为了更好地掌握边际概率的概念，让我们考虑一个关于学校学生的例子。想象一个学校，学生可以参加各种课外活动，如体育、音乐和艺术。假设我们想分析一个学生参与体育活动的概率。如果我们拥有关于学生总数和参与体育活动的学生数量的数据，我们可以计算出边际概率，即学生参与体育活动的概率，无论他们是否还参与其他活动。进一步说明这一点，假设总共有100名学生，其中40名参与体育活动。参与体育活动的边际概率将按以下方式计算：P(体育) = 参与体育的学生人数 / 学生总数 = 40/100 = 0.4。因此，参与体育活动的边际概率是0.4，或40%。这意味着如果我们随机选择一名学生，那么他们参与体育活动的概率为40%。现在，让我们扩大分析范围，考虑参与音乐的学生。如果我们知道有20名学生同时参与体育和音乐，我们仍然可以找到参与体育的边际概率。重叠不会影响边际概率的计算，因为它只考虑参与体育活动的学生总数，而不管他们是否参与其他活动。理解边际概率在经济学、医学和社会科学等多个领域中至关重要。例如，在医学研究中，研究人员可能希望确定患者患有特定疾病的概率，而不考虑其他潜在因素。这使得对该疾病在某一人群中的流行程度有更清晰的认识。此外，边际概率可以用于决策过程。例如，企业通常使用这个概念来评估基于历史数据的销售概率。通过计算客户购买特定产品的边际概率，公司可以更好地制定营销策略和库存管理。总之，边际概率在统计分析和决策中发挥着重要作用。它提供了单一事件发生的可能性简化视图，与其他变量无关。通过掌握边际概率的概念，个人可以提高分析能力，并在各个领域有效应用这些原则，从学术研究到实际商业应用。理解这一概率理论的基本方面对于任何希望深入了解统计学和数据分析世界的人都是必不可少的。