RMI502 APS Syllabus

AKTU MECHANICAL AND INDUSTRIAL ENGINEERING(MIE) RMI502 APS Syllabus for all 5 units are provided Below. Download link for MIE 5th 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) 5th SEM RMI502 APSAPPLIED 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.

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AKTU 5th SEM MIE APS Syllabus