Ross S (2006) A first Course in Probability. Peebles, PZ (2001) Probability, Random Variables and Random Signal Principles. Papoulis A, Pillai U (2002) Probability, random variables, and stochastic processes. Leon-Garcia, A (1994) Probability and Random Processes for Electrical Engineering. Kohavi R, Provost F (1998) Glossary of terms. Greiner M, Pfeiffer D, Smith RD (2000) Principles and practical application of the receiver-operating characteristic analysis for diagnostic tests. Ghahramani S (2000) Fundamentals of Probability. Acad Radiol 19:1452–1456įawcett T (2006) An introduction to ROC analysis. A priori and a posteriori probabilitiesĮng J (2012) Teaching receiver operating characteristic analysis: an interactive laboratory exercise.Conditional, marginal, joint and total probabilities.Examples and exercises include conceptual and data analytics-based ones. The association between transition matrix and confusion matrix is introduced to illustrate the connection of the probability concepts to data science. The presentation of the subject matter is organized to offer the reader the importance and relevance of the topics to present-day engineering problems. Keeping with the theme of application-oriented content, the chapter contains topics in data analytics such as the estimation of a priori, conditional, and a posteriori probabilities associated with a given set of data collected from measurements. Examples include those that examine the notion of continuous probability as a prelude to the presentation of random variables in the next chapter. The concepts of probability follow with appropriate descriptions of marginal, joint, conditional, and total probabilities, Bayes’ rule, Bernoulli trials, etc. a Complete the Venn Diagram using the information given above.This chapter begins with the elementary aspects of probability by starting with sets and Venn diagrams. At a birthday party, 11 guests wanted cake and ice cream, 9 asked for only a piece of cake, 5 just wanted ice cream, and 2 of the guests did not want anything at all. Use the data in the table to determine the if it is more likely that someone drinks coffee given that they stay up late or more likely that someone stays up late given that they drink coffee. If one student is randomly chosen from the group, what is the probability that they are taking tech given that they are taking art? Express your answer to the nearest tenth of a percent. In a group of 190 students, 112 students are taking a tech course, 74 are taking an art class, and 62 are taking both courses. If 63% of the employees work nights, what percent, to the nearest tenth, of the employees who work nights are working weekends? 3. At a local restaurant, 52% of the employees work both nights and weekends. If there is a 0.85 probability that he goes running and a 0.65 probability that he has homework, determine the probability that Jeremiah goes running given that he has homework. On any given day, the probability that Jeremiah goes for a run and has homework to complete is 0.55. Name:_ Unit #12 - Conditional Probability - Additional Practice Common Core Algebra II 1.
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