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Lecture 1

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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
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