Nothing Special   »   [go: up one dir, main page]
Scribd Logo
Upload

Welcome to Scribd!

  • 56 views

    Bmat202l Probability-And-Statistics TH 1.0 65 Bmat202l

    Uploaded by

    Manav Israni
    This document provides a short syllabus for the course BMAT202L Probability and Statistics. The course is worth 3 credits and introduces students to key concepts in statistics including measures of central tendency, random variables, probability distributions, hypothesis testing, and reliability analysis. The course aims to help students analyze real-world data distributions and relationships, apply estimation and testing methods, and use statistical methodology in decision making and reliability engineering problems. The syllabus outlines 8 modules that will be covered over 45 lecture hours.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd

    Bmat202l Probability-And-Statistics TH 1.0 65 Bmat202l

    Uploaded by

    Manav Israni
    56 views3 pages
    This document provides a short syllabus for the course BMAT202L Probability and Statistics. The course is worth 3 credits and introduces students to key concepts in statistics including measures of central tendency, random variables, probability distributions, hypothesis testing, and reliability analysis. The course aims to help students analyze real-world data distributions and relationships, apply estimation and testing methods, and use statistical methodology in decision making and reliability engineering problems. The syllabus outlines 8 modules that will be covered over 45 lecture hours.

    Original Description:

    Original Title

    BMAT202L_PROBABILITY-AND-STATISTICS_TH_1.0_65_BMAT202L

    Copyright

    © © All Rights Reserved

    Available Formats

    PDF, TXT or read online from Scribd

    Did you find this document useful?

    Is this content inappropriate?

    This document provides a short syllabus for the course BMAT202L Probability and Statistics. The course is worth 3 credits and introduces students to key concepts in statistics including measures of central tendency, random variables, probability distributions, hypothesis testing, and reliability analysis. The course aims to help students analyze real-world data distributions and relationships, apply estimation and testing methods, and use statistical methodology in decision making and reliability engineering problems. The syllabus outlines 8 modules that will be covered over 45 lecture hours.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    56 views3 pages

    Bmat202l Probability-And-Statistics TH 1.0 65 Bmat202l

    Uploaded by

    Manav Israni
    This document provides a short syllabus for the course BMAT202L Probability and Statistics. The course is worth 3 credits and introduces students to key concepts in statistics including measures of central tendency, random variables, probability distributions, hypothesis testing, and reliability analysis. The course aims to help students analyze real-world data distributions and relationships, apply estimation and testing methods, and use statistical methodology in decision making and reliability engineering problems. The syllabus outlines 8 modules that will be covered over 45 lecture hours.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 3

    Vellore Institute of Technology

    SHORT SYLLABUS
    BMAT202L Probability and Statistics
    3 Credits (3-0-0)
    Prerequisites: Calculus Introduction to statistics and data analysis; Measures of central tendency;
    Measures of variability; Random variables, Probability mass Function, Distribution and density func-
    tions, Joint Probability distribution and Joint Density functions; Mathematical expectation, and its prop-
    erties; Covariance; Moment generating function; Characteristic function. Correlation and Regression;
    Rank Correlation; Partial and Multiple correlation; Some standard discrete and continuous distribu-
    tions; Testing of hypothesis; Large sample tests - Z test; Small sample tests- Student’s t-test, F-test;
    Chi-square test; Design of Experiments; Analysis of variance; CRD-RBD- LSD; Hazard function; Reli-
    abilities of series and parallel systems; System Reliability; Maintainability; Preventive and repair main-
    tenance; Availability.

    Proceedings of the 62nd Academic Council (15.07.2021) 80


    Item 64/15 - Annexure - 11

    BMAT202L Probability and Statistics L T P C


    3 0 0 3
    Pre-requisite BMAT101L, BMAT101P Syllabus version
    1.0
    Course Objectives :
    1. To provide students with a framework that will help them choose the appropriate
    descriptive methods in various data analysis situations.
    2. To analyze distributions and relationship of real-time data.
    3. To apply estimation and testing methods to make inference and modelling
    techniques for decision making.

    Course Outcome :
    At the end of the course the student should be able to:

    1. Compute and interpret descriptive statistics using numerical and graphical


    techniques.
    2. Understand the basic concepts of random variables and find an appropriate
    distribution for analyzing data specific to an experiment.
    3. Apply statistical methods like correlation, regression analysis in analyzing,
    interpreting experimental data.
    4. Make appropriate decisions using statistical inference that is the central to
    experimental research.
    5. Use statistical methodology and tools in reliability engineering problems.

    Module:1 Introduction to Statistics 6 hours


    Statistics and data analysis; Measures of central tendency; Measure of Dispersion,
    Moments-Skewness-Kurtosis (Concepts only).
    Module:2 Random variables 8 hours
    Random variables- Probability mass function, distribution and density functions-Joint
    probability distribution and Joint density functions; Marginal, Conditional distribution and
    Density functions- Mathematical expectation and its properties- Covariance, Moment
    generating function.
    Module:3 Correlation and Regression 4 hours
    Correlation and Regression – Rank Correlation; Partial and Multiple correlation; Multiple
    regression.
    Module:4 Probability Distributions 7 hours
    Binomial distribution; Poisson distributions; Normal distribution; Gamma distribution;
    Exponential distribution; Weibull distribution.
    Module:5 Hypothesis Testing-I 4 hours
    Testing of hypothesis –Types of errors - Critical region, Procedure for testing of hypothesis-
    Large sample tests- Z test for Single Proportion- Difference of Proportion- Mean and
    difference of means.
    Module:6 Hypothesis Testing-II 9 hours
    Small sample tests- Student’s t-test, F-test- chi-square test- goodness of fit - independence
    of attributes- Design of Experiments - Analysis of variance – One way-Two way-Three way
    classifications - CRD-RBD- LSD.
    Module:7 Reliability 5 hours
    Basic concepts- Hazard function-Reliabilities of series and parallel systems- System

    Proceedings of the 64th Academic Council (16.12.2021) 162


    Item 64/15 - Annexure - 11

    Reliability - Maintainability-Preventive and repair maintenance- Availability.

    Module:8 Contemporary Issues 2 hours

    Total lecture hours: 45 hours


    Text Book:
    1. R. E. Walpole, R. H. Myers, S. L. Mayers, K. Ye, Probability and Statistics for
    engineers and scientists, 2012, 9th Edition, Pearson Education.
    Reference Books
    1. Douglas C. Montgomery, George C. Runger, Applied Statistics and Probability for
    Engineers, 2016, 6th Edition, John Wiley & Sons.
    2. E. Balagurusamy, Reliability Engineering, 2017, Tata McGraw Hill, Tenth reprint.
    3. J. L. Devore, Probability and Statistics, 2012, 8th Edition, Brooks/Cole, Cengage
    Learning.
    4. R. A. Johnson, Miller Freund’s, Probability and Statistics for Engineers, 2011, 8th
    edition, Prentice Hall India.
    5. Bilal M. Ayyub, Richard H. McCuen, Probability, Statistics and Reliability for
    Engineers and Scientists, 2011, 3rd edition, CRC press.
    Mode of Evaluation: Digital Assignments, Continuous Assessment Tests, Quiz, Final
    Assessment Test.
    Recommended by Board of Studies 24-06-2021
    Approved by Academic Council No. 64 Date 16-12-2021

    Proceedings of the 64th Academic Council (16.12.2021) 163

    You might also like