IPE 251 Engineering Statistics No. of Credit : 3 Credits No. of classes per week is 3 SAIFUL ISLAM LECTURER, DEPT. OF IPE, SUST Course Outline Engineering Statistics: Set -Sets and their properties; Probability: Sample space and Event, Probability of events, Bayes’ Rule of probability, Theorem of Total and Compound probability, Conditional probability, Mathematical Expectation, Mean, Variance and Covariance, Properties of mean and variance. Probability Distribution: Discrete and Continuous; Discrete Probability distribution: Binomial, Geometric, Negative Binomial, Poisson, Hyper Geometric and Multinomial distribution; Continuous Distribution: Uniform distribution, Normal with applications, Gamma, Exponential and Weibull, Chi-square distribution; Joint, Conditional and Marginal Probability distributions. Functions of Random Variables: variables transformation, Moments and Moment generating functions, Random sampling, Sampling distribution; Correlation Theory: Linear correlation, measures of correlation and its significance; Estimation Theory: Inference, methods of estimation estimating the mean tolerance limits, estimating the variance; Test of Hypothesis: Definition of statistical Hypothesis, Type I and Type II error, Goodness of fit test, Test for independence