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NEAR EAST UNIVERSITY FACULTY OF ENGINEERING

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NEAR EAST UNIVERSITY FACULTY OF ENGINEERING

Course Code:

MAT 350/250/203 Course Title:

Probability & Statistics Semester:

FALL , 2015-2016 Credit: 3 Instructor Name : Abba AUWALU

Group : 1

Email : abba.auwalu@neu.edu.tr Office : 16 – D06.

Textbook :

PROBABILITY & STATISTICS for Engineers & Scientists; R.E. Walpole, R.H. Myers, S.L. Myers and K.Ye, 9th edition, Pearson Education, Inc. – 2012.

Weekly Schedule: September 14 – December 18

Week 1 Chapter 1 : INTRODUCTION TO STATISTICS AND DATA ANALYSIS 1.1: Measures of Location and Variability

1.2: Discrete and Continuous Data

1.3: Statistical Modelling, Scientific Inspection, and Graphical Diagonosis Week 2-3-4 Chapter 2 : PROBABILITY

2.1: Sample Space, Events, Counting Sample Points 2.2: Probability of Events

2.3: Additive Rules

2.4: Conditional Probability 2.5: Multiplicative Rules 2.6: Bayes’ Rule

Week 5-6-7 Chapter 3 : RANDOM VARIABLES & PROBABILITY DISTRIBUTIONS 3.1: Concept of a Random Variable

3.2: Discrete Probability Distributions 3.3: Continuous Probability Distributions

3.4: Joint Probability Distributions

Week 8

MID – TERM EXAMS: November 02 - 07

Week 9-10-11 Chapter 4 : MATHEMATICAL EXPECTATION 4.1: Mean of a Random Variable

4.2: Variance and Covariance of a Random Variables

4.3: Mean and Variances of Linear Combinations of Random Variables 4.4: Chebyshev’s Theorem

Week 12-13 Chapter 5 : SOME DISCRETE PROBABILITY DISTRIBUTIONS 5.1: Discrete Uniform Distribution

5.2: Binomial and Multinomial Distributions 5.3: Hypergeometric Distribution

5.4: Negative Binomial and Geometric Distributions 5.5: Poisson Distribution and the Poisson Process

Week 14-15 Chapter 6 : SOME CONTINUOUS PROBABILITY DISTRIBUTIONS 6.1: Continuous Uniform Distribution

6.2: Normal Distribution

6.3: Area under the Normal Curve

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6.4: Applications of the Normal Distribution 6.5: Normal Approximation to the Binomial 6.6: Gamma and Exponential Distributions

6.7: Application of the Exponential and Gamma Distributions 6.8: Chi-Squared Distribution

6.9: Longnormal Distribution 6.10: Weibull Distribution

Week 16 Chapter 7 : FUNCTIONS OF RANDOM VARIBLES 7.1: Transformations of Variables

7.2: Moments and Moment-Generating Functions

GRADING:

Mid-Term : 30 % Home Work/Quiz : 15 % Final : 55 %

Letter Percent AA 90 – 100

BA  85 – 89

BB 80 – 84

CB 75 – 79

CC  70 – 74

DC 65 – 69

DD 60 – 64

FD  50 – 59

FF 00 – 49

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