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Course Information
Course Name
Turkish
Olasılık ve İstatistik
English
Probability and Statistics
Course Code
MDN 271E
Credit
Lecture
(hour/week)
Recitation
(hour/week)
Laboratory
(hour/week)
Semester
-
3
2
1
-
Course Language
English
Course Coordinator
Yasir Bashir
Course Objectives
To be able to understand the concepts of probability, conditional probability, and random variable
To be able to solve permutation and combination problems
To be able to solve real-life problems in engineering using statistics.
To understand the details of probability functions and to be able to make engineering applications of them.
To calculate the measures of central tendency and diffusion.
To be able to set up and perform Hypothesis Tests for single and double Population Mean.
Gains the skills of applying the least squares method as regression analysis & correlations.
Course Description
Product rule, permutation, combination, concept of probability (Kolmogorov axioms),
Conditional probability and independence, random variable, probability density function, distribution function,
Discrete distributions: Bernoulli, Binomial, Poisson Distributions, continuous distributions: Normal, Gamma and Exponential, Expected value ,
Moment generating function, mean, variance, standard deviation, covariance, correlation, Chebishev inequality, Estimator and its properties,
Maximum likelihood estimator, Confidence interval, Hypothesis test, Odd and even Population Mean Hypothesis Test, regression
Course Outcomes
Students who successfully complete this course;
Being able to solve permutation and combination problems.
Being able to understand the concepts of probability, conditional probability and random variables.
Being able to solve real-life problems in engineering using statistics.
To understand the details of probability functions and be able to apply them in engineering.
To calculate central tendency and dispersion measures.
Understanding statistical tests.
To be able to set up and perform Hypothesis Testing for odd and even Population Average.
Gain the skills to apply the least squares method as regression analysis.
Pre-requisite(s)
Required Facilities
Other
Textbook
1. Freund, J.E., Walpole, R.E., Mathematical Statistics, Prentice/Hall International Editions, 1980.
2. Benjamin, J.R., Cornell, C.A., Probability, Statistics and Decision for Civil Engineers, Mc-Graw Hill, 1970.
3. Bulu, A., İstatistik Problemleri, Teknik Kitaplar Yayınevi, 1986.
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