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DEPARTMENT of
INFORMATION
TECHNOLOGIES
INTERNATIONAL
BURCH
UNIVERSITY
MTH 104
PROB. & STATISTICS.
FOR ENG.
2011-2012 Spring Term
Dr. Huseyin Padem
[email protected]
Class Schedule: Wednesday 14:00-16:45
 Office Hour: Open Door Policy
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Course Objectives
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Descriptive statistics. Sets, events, and probability.
Random variables, discrete and continuous
distributions. Mathematical expectation and
correlation analysis. Discrete probability and
popular distributions, Poisson process. Continuous
probability distributions. Introduction to reliability
theory and failure. Functions of random variables.
Introduction to estimation theory. Simple and
multiple regression and correlation, least squares.
Statistics of extreme events. Testing of hypothesis.
Engineering application
Textbooks
1. Probability, Statistics and Random Processes
Dr.K.Murugesan & P.Gurusamy by Anuradha Agencies,
Deepti Publications.
2. Advanced Engineering Mathematics (Eighth edition),
Erwin Kreyszig, John Wiley and Sons (ASIA) Pvt. Ltd.,
2001.
3. Probability and Statistics for Engineers: G.S.S.Bhishma
Rao,sitech., Second edition 2005.
Brief Contents
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Sample space and events – Probability
Some elementary theorems
Random variables – Discrete and continuous – Distribution
Distribution - Binomial, Poisson and normal distribution – related
properties.
Sampling distribution: Populations and samples
Sampling distributions of mean (known and unknown) proportions, sums
and differences
Estimation: Point estimation – interval estimation - Bayesian estimation.
Test of Hypothesis – Means and proportions – Hypothesis concerning one
and two means
Type I and Type II errors. One tail, two-tail tests.
Tests of significance – Student's t-test, F-test.
Estimation of proportions
Curve fitting: The method of least squares
Inferences based on the least squares estimations
Regression – multiple regressions – correlation for univariate and bivariate
distributions
Grading
Midterm
Project
Final Examination
20%
30%
50%