Electrical Engineering and Computer Science No enrollment or registration. ACT350H1: Applied Probability for Actuarial Science . Explore problems where misconceptions commonly arise, including the Monty Hall problem. HOW INTRODUCTION TO APPLIED PROBABILITY IS SET UP TO MAKE COMPLICATED PROBABILITY AND STATISTICS EASY. Toronto, ON M5S 3G3, The Physical and Mathematical Universes (5), Do not use spaces within course code values, © 2020 Faculty of Arts & Science, University of Toronto. Download files for later. See related courses in the following collections: Explore the topics covered in this course with MIT Crosslinks, a website that highlights connections among select MIT undergraduate STEM courses and recommends specific study materials from OCW and others. It covers the same content, using videos … Take a chance and explore the math of unpredictability. Learn more. The main goal of the course is to help actuarial students understand the concept of stochastic processes with particular emphasis on Markov chains that are of great importance in Life Contingencies and Property and Casualty insurance. Freely browse and use OCW materials at your own pace. year. These tools underlie important advances in many fields, from the basic sciences to engineering and management. Probability and statistics courses teach skills in understanding whether data is meaningful, including optimization, inference, testing, and other methods for analyzing patterns in data and using them to predict, understand, and improve results. Electrical Engineering and Computer Science, 6.041SC Probabilistic Systems Analysis and Applied Probability (Fall 2013), RES.6-012 Introduction to Probability (Spring 2018), 6.041 Probabilistic Systems Analysis and Applied Probability (Spring 2006). Invariant distributions and limiting behaviour. The course will cover the following topics: a basic review of probabilities with emphasis on conditional probabilities and expectations, discrete time Markov chains, Poisson processes, continuous time Markov chains, renewal theory and some applications, queueing theory. This course deals with concepts required for the study of Machine Learning and Data Science. These tools underlie important advances in many fields, from the basic sciences to engineering and management. Welcome to 6.041/6.431, a subject on the modeling and analysis of random phenomena and processes, including the basics of statistical inference. Courses Limit theorems: strong law of large numbers, strong law and central limit theorem of renewal theory, elementary renewal theorem, renewal theorem, key renewal theorem. Learn more. Modify, remix, and reuse (just remember to cite OCW as the source. Past exams. Next. Learn to simplify problems by shifting your perspective to consider the probability an event does NOT happen. Continuous-time Markov chains. Push the frontiers of your knowledge with these probabilistic techniques. Freely browse and use OCW materials at your own pace. [Teaching responsibility of the Department of Statistics. Renewal theory. Find materials for this course in the pages linked along the left. Course Description. 271 Waverley Oaks Road, Suite 404, Waltham, MA 02452, MindEdge/HRCI Survey Finds HR Professionals are Gradually Adapting to Remote Work, Identify whole numbers, integers, or rational numbers from a finite set of real numbers, Order a finite set of real numbers with or without a number line, Apply the mathematical operations to whole numbers, Apply the mathematical operations to integers, Apply the mathematical operations to numbers with exponents, Apply the order of operations correctly to a given numerical expression, Approximate a solution to a mathematical problem using estimation skills, Identify the prime factorization of a given whole number, Identify the greatest common factor of two given whole numbers, Calculate the square root of a whole number, Identify the Least Common Denominator of two fractions, Apply the mathematical operations of addition, subtraction, multiplication, and division to fractions, Identify place values for a given decimal number, Apply a given rounding algorithm for decimal numbers, Apply the mathematical operations of addition, subtraction, multiplication, and division to decimals, Apply the mathematical operations of addition, subtraction, multiplication, and division to percentage values, Solve for an unknown quantity using ratios in the context of a proportion, Convert between decimals, fractions, and percentages, Apply basic unit conversions for household and metric measures, Identify the inverse operation that corresponds to a given operation, Evaluate a given algebraic expression using the distributive property, Combine like terms to simplify a given algebraic expression, Evaluate a given algebraic expression using substitution, Identify an algebraic expression or equation that defines a given pattern of relationships for a given real world problem, Solve a given linear equation of a specified form, Predict solution to a real world problem given an algebraic equation, Solve a given linear equation with fraction coefficients and constants of the form, Identify a graphical representation of the solution, Identify the graph of given coordinates on a coordinate plane, Identify the slope when given a graph of a linear equation, Identify the correct graph for a given linear equation of the form, Apply the standard deviation rule to a special case of normal distributions, Identify the appropriate numerical measures for a given set of data in different contexts, Relate measures of center and spread to the shape of the distribution, Calculate the mean, median, mode, quartiles, range, and interquartile range for a set of quantitative data, Evaluate data from several different graphical displays of a distribution of a categorical variable (bar chart, pie chart) and of a quantitative variable (histogram, stem plot, box plot), Describe the distribution of a categorical variable in context, Describe the distribution of a quantitative variable in context: a) describe the overall pattern, b) describe striking deviations from the pattern, Identify the appropriate graphical display for a given set of data in different contexts, Explain how graphical displays can be used to misrepresent data, Classify a data analysis situation according to the role-type classification, Identify the appropriate graphical display for a given classification in different contexts, Identify the appropriate numerical measures for a given classification in different contexts, Compare conditional percentages in a two-way table, Determine the relationship between two quantitative variables, when given a graph, Describe the overall pattern and the striking deviations in a graph of two variables, Identify sampling methods, common errors related to sampling, and observational and experimental study designs, Explain the distinction between association and causation, Explain the phenomenon of Simpson’s Paradox as it relates to interpreting the relationship between two variables, Estimate the value of the correlation coefficient between two variables from a scatterplot, Interpret the value of the correlation coefficient between two variables, Recognize the limitations of the correlation coefficient as a numerical measure of the association between two quantitative variables, Identify regression analysis applications for purposes of description and prediction, Interpret the simple least squares linear regression equation for a set of data in regards to the overall pattern, Interpret the simple least squares linear regression equation to make a prediction, Determine whether a regression model is significant, Identify potential problems if regression analysis is used incorrectly, Relate the probability of an event to the likelihood of the event occurring, Explain how relative frequency can be used to estimate the probability of an outcome or an event, Determine the sample space of a given random experiment, Find the probability of events in the case in which all outcomes are equally likely, Apply the addition rule to find the probability of a given set of disjoint events, Apply the multiplication rule to find the probability of a given set of independent events, Apply basic probability concepts to interpret and solve mathematical problems, Find probabilities using Venn diagrams or probability tables as aids, Explain the concept of conditional probability and properly use the probability notation for a conditional event, Identify an example that represents a case of conditional probability, Determine the probability of an event using principles of conditional probability. 6 min. Introduction to Probability and Statistics Instructor: Applied AI Course Duration: 17 mins . window.purechatApi = { l: [], t: [], on: function () { this.l.push(arguments); } }; (function () { var done = false; var script = document.createElement('script'); script.async = true; script.type = 'text/javascript'; script.src = 'https://app.purechat.com/VisitorWidget/WidgetScript'; document.getElementsByTagName('HEAD').item(0).appendChild(script); script.onreadystatechange = script.onload = function (e) { if (!done && (!this.readyState || this.readyState == 'loaded' || this.readyState == 'complete')) { var w = new PCWidget({c: '6d795d4c-5386-4785-afa9-10ed707f3b45', f: true }); done = true; } }; })(); MindEdge's mission is to improve the way the world learns.

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