JNTU Anantapur First Year MCA Syllabus 2009 |
Probability And Statistics |
UNIT – I : |
Probability: Sample Space and events-probability-The axioms of probability-Some Elementary theorems-Conditional probability-Baye's theorem.
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UNIT – II : |
Random variables: Discrete and continuous –Distribution –Distribution function.
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UNIT – III : |
Distribution: Binomial, Poisson and Normal distribution – related properties. |
UNIT – IV : |
Sampling Distribution: Populations and samples-Sampling distributions of mean(known and unknown) proportions, sums and differences.
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UNIT – V : |
Estimation: Point estimation-interval estimation-Bayesian estimation
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UNIT – VI : |
Test of hypothesis: Means and proportions-Hypothesis concerning one and two means-Type I and Type II errors. One -tail, two -tail tests.
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UNIT – VII: |
Tests of significance: Student's t-test, F-test, ?2 – test, Estimation of proportion.
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UNIT – VIII : |
Curve fitting: The method of least squares – Interfaces based on the least squares estimations –Curvilinear regression – multiple regressions- correlation for univariate and bivariate distributions.
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REFERENCE |
TEXT BOOKS: |
1.Probability and statistics for MCA, T.K.V.Iyengar, B.krishna Gandhi, S.Ranganathan, M.V.S.S.N.Prasad, S.Chand and Company Ltd.
2. Mathematical Statistics, Gupta, Kapoor , S.Chand.
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Reference Books |
1. Probability and Its Applications, Murray R Spiegel,Schaum Series,TMH
2. Engineering Mathematics, B.V.Ramana, TMH., 2002,
3. Introduction to probability and statistics, J.S.Milton, Jesse C.Arnold, 4/e, TMH.
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