Identify and distinguish among cases where use of calculations specific to independent samples, matched pairs, and ANOVA are appropriate. Apply the sampling distribution of the sample proportion (when appropriate). Apply the standard deviation rule to the special case of distributions having the “normal” shape. Distinguish between discrete and continuous random variables. 99 0 obj
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Introduction to scatterplots: Exploring bivariate numerical data … Probability is the study of the likelihood an event will happen, and statistics is the analysis of large datasets, usually with the goal of either usefully describing this data or inferring conclusions about a larger dataset based on a representative sample. Let E and F be two events associated with a sample space S. Clearly, the set E ∩ F denotes the event that both E and F have occurred. To do the activities, you will need your own copy of Microsoft Excel, Minitab, the open source R software (free), TI calculator, or StatCrunch. This unit introduces students to the logic as well as the technical side of the main forms of inference: point estimation, interval estimation and hypothesis testing. The probability unit of the Statistical Reasoning version of the course essentially acts as a “bridge” to the inference section and includes only those concepts necessary to support a conceptual understanding of the role of probability as the “machinery” behind inference. h�bbd```b``6�� �i.� Apply probability rules in order to find the likelihood of an event. When appropriate, use tools such as Venn diagrams or probability tables as aids for finding probabilities. The course is built around a series of carefully devised learning objectives that are independently assessed. Learn about Open & Free OLI courses by visiting the “Open & Free features” tab below. I would like to receive email from GTx and learn about other offerings related to Probability and Statistics I: A Gentle Introduction to Probability. Let E and F be events of a sample space S of an experiment, then; Property 2: If A and B are two events in a sample space S and F is an event of S, such that P(F)≠0, then; P((A ∪ B)|F) = P(A|F) + P(B|F) – P((A ∩ B)|F). Summarize and describe the distribution of a quantitative variable in context: a) describe the overall pattern, b) describe striking deviations from the pattern. Mahatma Gandhi College, Iritty- Kannur, Kerala. use a sample to infer (or draw conclusions) about the population from which it was drawn. Course Outcomes Upon successful completion of this course, the student will be able to: Find the mean and variance of a discrete random variable, and apply these concepts to solve real-world problems. The formula for the probability of an event to occur is given by; Conditional Probability is the likelihood of an event or outcome occurring based on the occurrence of a previous event or outcome. Critically evaluate the reliability and validity of results published in mainstream media. endstream
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Find the probability distribution of discrete random variables, and use it to find the probability of events of interest. 27 19 th October 2020 Monday 09:45 AM - 10:15 AM Probability and Statistics (IT302) Class No. develop strong learning strategies for Probability & Statistics, as well as other online courses. 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. I learned the most by listening to Ms King's teaching of the concept, stopping the video, and then attempting to work the example problems. Carry out hypothesis testing for the population proportion and mean (when appropriate), and draw conclusions in context. Producing Data. Two dimensional random variables, joint probability distributions etc., are also coming under the structure of this course. Required fields are marked *, Important Questions Class 12 Maths Chapter 13 Probability. Interpret the value of the correlation coefficient, and be aware of its limitations as a numerical measure of the association between two quantitative variables. Introductory-level course teaches students the basic concepts of statistics and the logic of statistical reasoning. Designed for students with no prior knowledge in statistics, its only prerequisite is basic algebra. �u��@$�4X�!��`�t�A��vH2f&��֡`�� ҭlB������t�
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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. The unit covers inferential methods for the population mean and population proportion, Inferential methods for comparing the means of two groups and of more than two groups (ANOVA), the Chi-Square test for independence and linear regression. 2. Produce a two-way table, and interpret the information stored in it about the association between two categorical variables by comparing conditional percentages. OLI system requirements, regardless of course: Some courses include exercises with exceptions to these requirements, such as technology that cannot be used on mobile devices.