Unit Code: MTH411SEM

Unit Name: Introduction to Probability and Statistics

Description: This course introduces students to basic applied statistics using simple ideas in probability, descriptive and inferential and descriptive statistics. With the introduction of statistical concepts, this course would provide students with a firm basis to develop skill in analyzing statistical data. Topics include Fundamental concepts and methods of statistics with emphasis on interpretation of statistical arguments. An introduction to basic statistical terms, sampling methods, classification of data, measure of central tendency, correlation and regression, concepts of probability theory, sampling distributions and normal distribution, binomial distribution, confidence intervals, and introduction to hypothesis tests.

Learning Target Outcomes: At the end of this course the student should be able: • To become familiar with the importance of statistics in engineering, science and technology. • To create and interpret different distribution graphs. • To calculate the mean, median, mode, standard deviation, variance, percentiles, and z-score and use them to analyze the data. • To calculate probabilities using the addition rule, multiplication rule and conditional probability. • To calculate the mean, standard deviation, variance and expected value for discrete probability distributions including the Binomial Distribution. • To calculate areas under the Standard Normal Distribution and use the results to solve application problems. • To apply the Central Limit Theorem in solving problems involving sample means. • To construct confidence intervals for the population mean using large and small samples, for the population proportion, and for the population standard deviation. • To conduct basic hypothesis testing. • To calculate the correlation coefficient of simple linear regression models.

Prerequisite: Passed Year 12 Mathematics or Equivalent.

Prerequisite Sentence: N/A

Credit Point: 12

Offered In: Semester 2