** RMI502 APS Syllabus**

AKTU **MECHANICAL AND INDUSTRIAL ENGINEERING**(MIE) **RMI502 **APS Syllabus for all 5 units are provided Below. Download link for MIE 5^{th} SEM RMI502 **APPLIED PROBABILITY AND STATISTICS **Syllabus is listed down for students to make perfect utilization and score maximum marks with our study materials.

UP Technical University** MECHANICAL AND INDUSTRIAL ENGINEERING** (MIE) 5^{th} SEM **RMI502 APS**– **APPLIED PROBABILITY AND STATISTICS **Syllabus

**APPLIED PROBABILITY AND STATISTICS**

**Unit I**

Introduction to statistics: Statistical Thinking, Collecting data, Statistical Modeling Frame

work, measure of central tendency and variance, Importance of Data summary and Display,

Tabular and Graphical display.

**Unit II**

Discrete Random Variables and Probability distributions: Discrete Random variables,

Probability distributions and Probability mass functions, Cumulative distribution functions,

Mean and Variance of a discrete random variable, discrete uniform distribution, Binominal

distribution, Hyper Geometric distribution, Poisson distribution, Applications.

**Unit III**

Continuous Random Variables and Probability Distributions: Continuous random

variables, Probability distributions and probability density functions, cumulative distribution

functions, Mean and Variance of a continuous random variable, uniform distribution, Normal

distribution, Normal approximation to Binominal and Poisson distribution, Exponential

distribution.

**Unit IV**

Testing of Hypothesis: estimation theory, Hypothesis testing, Inference on the mean of a

population (variance known and unknown), Inference on the variance of a normal population,

Inference on a population proportion, Testing for Goodness of Fit, Inference for a difference

in Means, Variances known, Inference for a difference in means of two normal distributions,

Variances unknown, Inference on the Variances of two normal populations, Inference on two

population proportions.

**Unit V**

Simple Linear Regressions and Correlation: Simple Linear Regression, Properties of Least

square Estimators and Estimation of variances, Transformations to a straight line, Correlation

Multiple linear regressions : Multiple linear regressions model, least square estimation of

parameters, Correlation- types, correlation coefficients, properties of least square estimators

and estimation of variance.

**Text books:**

1. George C Runger -Applied statistics and Probability for Engineers, John Wiley and Sons,

ISBN-0-471-17027-5, 2ndEdn.

2. Richard I Levin, David S Rubin -Statistics for Management, Prentice Hall India, ISBN-81-

203-0893-X, 6thEdn.

References:

1. William W Hines, Douglas C Montgomery -Probability and Statistics in Engineering, John

Wiley and Sons, 2ndEdn.

2. Douglas C. Montgomery, George C. Runger, Norma F. Hubele, “Engineering Statistics”,

John Wiley and Sons, 5th Edn, ISBN-13: 978-0470631478 ISBN-10: 0470631473 year:2010

3. Schaum’s Outline of Statistics, 5th Edition (Schaum’s Outlines) March 14, 2014, ISBN-13:

978-0071822527 ISBN-10:0071822526

4. Daniel, Terrell -Business Statistics for Management and Economics, Houghton Mifflin

Company, ISBN-0-395-62835-0, 6thEdn.

5. Walpole & Mayer -Probability and Statistics, MacMillan Publishing Company,1989.

If you require any other notes/study materials, you can comment in the Below section.

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RMI502 Syllabus, **APS **Unit-wise Syllabus – MIE 5th Semester