Statistics and Probability Question Paper

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Statistics and Probability

Subject CodeSubject NameCredits
MCA105Statistics And Probability04
Subject

Code

Subject NameTeaching

Scheme

Credits

Assigned

TheoryPractTutTheoryTWTut.Total
MCA105Statistics And Probability040404
Subject CodeSubject NameExamination Scheme
MCA 105Statistics And ProbabilityTheory MarksTWPractOralTotal
Internal AssessmentEnd Semester Exam
Test1 (T1)Test2 (T2)Average of T1 & T2
20202080100

 Pre-requisites:

Basic Mathematics, combinatorics and calculus Knowledge.

Course Educational Objectives (CEO):

CEO 1To equip the students with a working knowledge of probability, statistics, and modeling in the presence of uncertainties.
CEO 2To understand the concept of hypothesis and significance tests
CEO 3To help the students to develop an intuition and an interest for random phenomena and to introduce both theoretical issues and applications that may be useful in real life.

Course Outcomes: At the end of the course, the students will be able to:

MCA105.1Distinguish between quantitative and categorical data
MCA105.2Apply different statistical measures  on data
MCA105.3Identify, formulate and solve problems
MCA105.4Classify different types of Probability and their fundamental applications

Syllabus

Sr. NoModuleDetailed ContentsHours
1Measures of Central Tendency &Measures of DispersionFrequency Distribution, Histogram, Stem and leaf diagram, ogives, Frequency Polygon, Mean, Median, Mode, Range, Quartile Deviation, Mean Deviation, Box whisker plot, Standard Deviation, Coefficient of Variation8
2Skewness, Correlation & RegressionKarl Pearson‟s coefficient of Skewness, Bowley‟s coefficient of Skewness, Scatter Diagram, Karl Pearson‟s coefficient of correlation, Spearman‟s rank correlation coefficient , Linear Regression and Estimation, Coefficients of regression8
3Theory of AttributesClasses and Class Frequencies, Consistency of Data, Independence of Attributes, Association of Attributes4
4Testing of HypothesisHypothesis, Type I and Type II errors. Tests of significance

– Student’s t-test:Single Mean, Difference of means, paired t-test, Chi-Square test:Test of Goodness of Fit, Independence Test

10
5Introduction to ProbabilityRandom experiment, Sample space, Events, Axiomatic Probability, Algebra of events4
6Conditional ProbabilityConditional Probability, Multiplication theorem of Probability, Independent events, Baye‟s Theorem6
7Random variablesDiscrete random variable, Continuous random variable, Two-dimensional random variable, Joint probability distribution, Stochastic independence7
8Mathematical ExpectationExpected value of a random variable, Expected value of a function of a random variable,Properties of Expectation and Variance, Covariance5

 

Reference Books:

 

  1. Fundamentals of Mathematical Statistics – 1st Edition S.C.Gupta, V.K.Kapoor , S Chand
  2. Introduction to Probability & Statistics – 4th Edition J.Susan Milton, Jesse C. Arnold Tata McGraw Hill
  3. Fundamentals of Statistics : 7th edition S C Gupta, Himalaya Publishing house
  4. Probability and Statistics with Reliability, Queuing, And Computer Science Applications (English) 1st Edition: Kishore Trivedi, PHI
  5. Schaum‟s Outlines Probability, Random Variables & Random Process 3rd Edition Tata

McGraw Hill

  1. Probability & Statistics for Engineers: Dr J Ravichandran, Wiley
  2. Statistics for Business and Economics: Dr Seema Sharma, Wiley
  3. Applied Business Statistics 7th  Edition Ken Black, Wiley