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In the special case of linear relationship, use the least squares regression line as a summary of the overall pattern, and use it to make predictions. 1. Apply the standard deviation rule to the special case of distributions having the “normal” shape. an operating system that supports the latest browser update, the latest browser update (Chrome recommended; Firefox, Safari supported; Edge and Internet Explorer are supported but not recommended). To do the activities, you will need your own copy of Microsoft Excel, Minitab, the open source R software (free), TI calculator, or StatCrunch. Summarize and describe the distribution of a quantitative variable in context: a) describe the overall pattern, b) describe striking deviations from the pattern. HERE'S WHAT SOME STUDENTS OF BECOME A PROBABILITY & STATISTICS MASTER HAVE TOLD ME: “Krista is an experienced teacher who offers Udemy students complete subject matter coverage and efficient and effective lessons/learning experiences. This course provides an elementary introduction to probability and statistics with applications. use a sample to infer (or draw conclusions) about the population from which it was drawn. In a given context, specify the and alternative hypotheses for the population proportion and mean. Probability theory. Quizzes: When you think you’ve got a good grasp on a topic within a course, you can test your knowledge by taking one of the quizzes. One of the main differences between the courses is the path through probability. 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Course Objective: The objective of this course is to acquaint students with probability, descriptive statistics and statistical inference and demonstrate real world applications using examples drawn from various fields. identify sampling methods used to produce data. “FCPS” refers to the free text, A First Course in Probability and Statistics . It’s like Cliff Notes for books, but for math. Learn everything from Probability & Statistics, then test your knowledge with 600+ practice questions. Relate measures of center and spread to the shape of the distribution, and choose the appropriate measures in different contexts. Compare and contrast distributions (of quantitative data) from two or more groups, and produce a brief summary, interpreting your findings in context. For mathematics, computer science students, the course in “Probability and Statistics” gives an additional space for widening the applications of the knowledge in their subject area to the various fields of real life. Determine point estimates in simple cases, and make the connection between the sampling distribution of a statistic, and its properties as a point estimator. Learn about Open & Free OLI courses by visiting the “Open & Free features” tab below. These give the instructor insight into mastery of learning objectives and skills, both for the class as a whole and for individual students. When appropriate, use tools such as Venn diagrams or probability tables as aids for finding probabilities. It is measured as a number of favourable events to occur from the total number of events. For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). Probability allows us to make a prediction of happening. This site is the homepage of the textbook Introduction to Probability, Statistics, and Random Processes by Hossein Pishro-Nik. Mahatma Gandhi College, Iritty- Kannur, Kerala. Introduction to scatterplots: Exploring bivariate numerical data … 3. I explain the problem setup and why I set it up that way, the steps I take and why I take them, how to work through the yucky, fuzzy middle parts, and how to simplify the answer when you get it. In addition, the course helps students gain an appreciation for the diverse applications of statistics and its relevance to their lives and fields of study. Generate and interpret several different graphical displays of the distribution of a quantitative variable (histogram, stemplot, boxplot). There are also many aspects of probability theory that involve topics that are almost entirely mathematical. In the Probability and Statistics course the unit is a classical treatment of probability and includes basic probability principles, conditional probability, discrete random variables (including the Binomial distribution) and continuous random variables (with emphasis on the normal distribution). Probability & Statistics includes data files and software instructions, but not the statistical analysis software itself. Find probabilities associated with the normal distribution. apply the rules of probability to determine the likelihood of an event. Apply the sampling distribution of the sample proportion (when appropriate). Alexander M. Mood, Franklin A. Graybill and Duane C. Boes, Introduction to the Theory of Statistics, 3rd Ed., Tata McGraw- Hill, Reprint 2007.