PROBABILITY AND STATISTICS MCA 1st Year 1st Semester E-Book
E-Book PDF Download File Syllabus
Contents
UNIT– I Vector Spaces : Vector Spaces and Subspaces- Null Spaces, Column Spaces and Linear Transformations. LinearlyIndependentSets-Bases-CoordinateSystems.
UNIT– II Probability : Basic terminology, Three types of probability, Probability rules, Statistical independence, statistical dependency,Bayes’theorem. Probability Distributions : Random variables, expected values, binomial distribution, Poisson distribution, normaldistribution,choosingcorrectdistribution.
UNIT– III Sampling and Sampling Distributions : considerationsinsampling. Estimation: Random sampling, Non-Random Sampling distributions, operational Point estimates, interval estimates, confidence intervals, calculating interval estimates of the mean andproportion,t-distribution,determinationofsamplesizeinestimation.
UNIT– IV TestingHypothesis-OnesampleTests: Hypothesistestingofmeanwhenthepopulationstandarddeviationis known, powers of hypotheses test, hypotheses testing of proportions, hypotheses testing of means when standarddeviationisnotknown. Testing Hypotheses- Two sample Tests : Tests for difference between means- large sample, small sample, withdependentsamples,testingfordifferencebetweenproportions–Largesample.
UNIT– V Chi-squareandAnalysisofVariance: Regression and Correlation : Chi-squareastest ofindependence,chi-square asa testofgoodness of fit, analysisofvariance,inferencesaboutapopulationvariance,inferencesabouttwopopulationvariances. Simple Regression- Estimation using regression line, correlation analysis, making inferences about population parameters, limitations, errors and caveats in regression and correlation analysis. Multiple Regression and correlation analysis. Finding multiple regression equations and making inferencesaboutpopulationparameters.
