June 2015 The Hong Kong Polytechnic University Hong Kong Community College Subject Description Form Subject Code CCN1050 Subject Title Introduction to Probability and Statistics Level 1 Credit Value 3 Medium of Instruction English Pre-requisite / Co-requisite/ Exclusion Nil Objectives This subject aims to introduce students to some fundamental principles and knowledge of statistics. Studying this subject also helps develop students’ ability to compile statistical data, carry out simple statistical calculation and understand the elements of probability and probability distributions. Applications of statistical techniques are emphasised to solve practical problems in science and engineering. Intended Learning Outcomes Upon completion of the subject, students will be able to: (a) understand common practices in data collection. (b) acquire techniques to describe/present the data set. (c) apply probabilistic and statistical reasoning to describe and analyse essential features of data sets and problems in real-life situations. (d) use and extend knowledge of statistical inference techniques and their applications in real-life situations. Subject Synopsis/ Indicative Syllabus Descriptive Statistics Introduction to statistics; Displaying numerical data through the use of tables and charts; Measures of central tendency; Measures of variation. Probability Experiment; Events; Sample space and probability; Probability rules; Conditional probability; Bayes’ Theorem. Random Variables and Expectation Types of random variables; Jointly distributed random variables; Expectation; Variance. 1 June 2015 Discrete Probability Distributions Discrete random variables and probability distributions; Bernoulli Distribution; Binomial Distribution; Poisson Distribution; Hypergeometric Distribution. Continuous Probability Distributions Continuous random variables and probability distributions; Uniform Distribution; Normal Distribution; Exponential Distribution; ChiSquared Distribution. Distributions of Sampling Statistics Sampling distribution of sample mean; Sampling distribution of sample variance; Central Limit Theorem. Inferential Statistics Point estimation; Interval estimation; Determination of sample size required. Teaching/Learning Methodology Lectures will focus on the introduction and explanation of probabilistic and statistical concepts, theories and terminologies supported by real examples wherever appropriate. Tutorials will provide students with the opportunity to practise their newly learnt concepts on data examples. Activities will include numerical exercises and peer discussions of data analysis results. Assessment Methods A variety of assessment tools will be used to develop and assess students’ achievement of the subject intended learning outcomes. in Alignment with Intended Learning Outcomes Specific assessment % Intended subject learning methods/tasks weighting outcomes to be assessed (Please tick as appropriate) a b c d Continuous Assessment* 40 Test 20 Assignment 1 10 Assignment 2 10 Final Examination 60 Total 100 *Continuous assessment items and/or weighting may be adjusted by the subject team subject to the approval of the College Programme Committee. To pass this subject, students are required to obtain Grade D or above in both the Continuous Assessment and Final Examination. 2 June 2015 Student Study Effort Expected Class contact Hours Lecture 26 Tutorial 13 Other student study effort Reading List and References Self-Study 52 Continuous Assessment 39 Total student study effort 130 Recommended Textbook Tong, H.Y et al. (2013). Introduction to Probability and Statistics for Science Students. Cengage Learning. References Devore, J.L. (2012) Probability & Statistics for Engineering and the Sciences. (8th ed.), Cengage Learning. Walpole, R.E., Myers, R.H., Myers, S.L. & Ye, K.Y. (2012). Probability and Statistics for Engineers and Scientist. (9th ed.), Prentice Hall. Weiss, N.A. (2012). Introductory Statistics. (9th ed.), Addison Wesley. 3
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