Hey I need the B.Sc course in statistics syllabus for the Karnataka State Law University so can you please provide me the same so I can have an idea???

Well The Karnataka State Law University is a State university situated at Navanagar, Hubli, Karnataka, India.


B.Sc. FIRST SEMESTER THEORY PAPER

STTH: 1 BASIC STATISTICS, PROBABILITY & MATHEMATICAL
EXPECTATION

Unit I: Introduction: Introduction, meaning, definition, functions, limitations, scope of
statistics, variable, attribute, qualitative and quantitative data, types of data & scales of
measurement (nominal, ordinal, interval, ratio, cross sectional, time series etc.),
Formation of a uni-varaite and bi-variate frequency distribution, marginal and conditional
distributions, Graphical presentation of a frequency distribution.
(10 Hours)
Unit II: Descriptive Statistics:
Measures of central tendency – Arithmetic mean, Geometric mean, Harmonic mean,
Median & Mode. Definition, formulae, properties, merits and demerits, Measures of
partition values – Quartiles, Deciles & Percentiles, definition, formulae, Measures of
dispersion – Absolute & relative measures, Range, Quartile Deviation, Mean Deviation
and Standard Deviation, definition, formulae, properties, merits and demerits, Measures
of Skewness: Meaning, need, types of skewness, absolute and relative measures,
properties, Measures of Kurtosis: Need, types of kurtosis, measurement of kurtosis,
properties, standard theoretical examples. Moments about origin, moments about mean,
their interrelationships, and properties.
(20 Hours)
Unit III: Probability Theory: Basic concepts: Random experiment, Sample space,
Mutually exclusive, exhaustive, equally likely events, complimentary events, classical,
statistical and axiomatic definition of probability, properties, Addition and Multiplication,
Conditional probability theorems with proofs, theoretical examples, With replacement
and without replacement selection, Independent and dependent events, Bayes’ theorem
and its applications.
(12 Hours)
Unit IV: Random Variables & Mathematical Expectations: Definition of a random
variable, discrete & continuous, probability mass function, probability density function,
distribution function and its properties, idea of marginal, conditional distributions, joint
probability functions, independence of random variables. Mathematical expectation of a
random variable. Addition theorem and Multiplication theorems on mathematical
expectations. Generalization of Addition theorem and Multiplication theorems on
random variables, Variance, Covariance, and Variance of linear combinations of random
variables.
(10 Hours)
Unit V: Generating functions and their applications: Moment generating functions,
cumulants generating functions, probability generating functions, and its applications,
properties of MGF, Chebyshev’s inequality and its applications, Weak Law of Large
Numbers. Determination of moments with MGF & CGF.
(8Hours)
LIST OF PRACTICALS FOR FIRST SEMESTER
STTH: 1 BASIC STATISTICS, PROBABILITY & MATHEMATICAL
EXPECTATION
1. Formation of a frequency distribution uni-variate and bi-variate etc.
2. Graphical presentation of a frequency distribution
3. Measures of Central Tendency – I & II
4. Partition values
5. Measures of Dispersion – I & II
6. Measures of Skewness and Kurtosis
7. Probability – I & II

Attached Files

B.Sc. FIRST SEMESTER THEORY PAPER.pdf (2.63 MB, 112 views)