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STATISTICS
Paper – II: Probability Distributions and Statistical Methods
SYLLABUS
Unit - I
Discrete
Distributions:
Binomial and Poisson distributions, their definitions, First 4 Central Moments.
M.G.F, C.G.F, C.F, Mean, Variance, additive property if exists. Poisson
approximation to Binomial distribution. Geometric distribution, Negative
binomial Hyper-geometric distribution: Definition, mean and variance. Poisson
approximation to Negative binomial distributions.
Unit-II
Continuous distributions:
Rectangular, Exponential Gamma and Beta distributions – mean, variance, M.G.F,
C.G.F., C.F. Normal Distribution – definition, importance, properties M.G.F,
additive property. Interrelation between Normal and Binomial, Poisson
distributions
Unit-III
Correlation: Meaning, Types of Correlation, Measures of
Correlation: Scatter diagram, Karl Pearson’s Coefficient of Correlation, Rank
Correlation Coefficient (with and without ties), Bi-variate frequency
distribution, correlation coefficient for bi-variate data and simple problems.
Regression: Concept of Regression, Linear Regression:
Regression lines, Regression coefficients and it’s properties, Regressions
lines for bi-variate data and simple problems. Correlation vs regression.
Unit IV
Curve fitting:
Bi-variate data, Principle of least squares, fitting of degree polynomial.
Fitting of straight line, Fitting of Second degree polynomial or parabola, fitting
of power curve and exponential curves.
UNIT-V
Attributes : Notations, Class, Order of class frequencies,
Ultimate class frequencies, Consistency of data, Conditions for consistency of
data for 2 and 3 attributes only, Independence of attributes , Association of
attributes and its measures, Relationship between association and colligation
of attributes.
Contingency table:
Square contingency, Mean square contingency, Coefficient of mean square
contingency
STATISTICS
PAPER 1: Probability Distributions and Statistical Methods
Important Questions , Mid Examination and Public Examination Papers
| Important Questions |  |
| Mid Examination 1 | |
| Mid Examination 2 | |
| Public Examination Papers 2020 | |
| Public Examination Papers 2021 | |
| Public Examination Papers 2022 | |
STATISTICS
Paper – II: Probability Distributions and Statistical Methods
SYLLABUS
Unit - I
Discrete
Distributions:
Binomial and Poisson distributions, their definitions, First 4 Central Moments.
M.G.F, C.G.F, C.F, Mean, Variance, additive property if exists. Poisson
approximation to Binomial distribution. Geometric distribution, Negative
binomial Hyper-geometric distribution: Definition, mean and variance. Poisson
approximation to Negative binomial distributions.
Unit-II
Continuous distributions:
Rectangular, Exponential Gamma and Beta distributions – mean, variance, M.G.F,
C.G.F., C.F. Normal Distribution – definition, importance, properties M.G.F,
additive property. Interrelation between Normal and Binomial, Poisson
distributions
Unit-III
Correlation: Meaning, Types of Correlation, Measures of
Correlation: Scatter diagram, Karl Pearson’s Coefficient of Correlation, Rank
Correlation Coefficient (with and without ties), Bi-variate frequency
distribution, correlation coefficient for bi-variate data and simple problems.
Regression: Concept of Regression, Linear Regression:
Regression lines, Regression coefficients and it’s properties, Regressions
lines for bi-variate data and simple problems. Correlation vs regression.
Unit IV
Curve fitting:
Bi-variate data, Principle of least squares, fitting of degree polynomial.
Fitting of straight line, Fitting of Second degree polynomial or parabola, fitting
of power curve and exponential curves.
UNIT-V
Attributes : Notations, Class, Order of class frequencies,
Ultimate class frequencies, Consistency of data, Conditions for consistency of
data for 2 and 3 attributes only, Independence of attributes , Association of
attributes and its measures, Relationship between association and colligation
of attributes.
Contingency table:
Square contingency, Mean square contingency, Coefficient of mean square
contingency
STATISTICS
PAPER 1: Probability Distributions and Statistical Methods
Important Questions , Mid Examination and Public Examination Papers
| Important Questions | |
| Mid Examination 1 | |
| Mid Examination 2 | |
| Public Examination Papers 2020 | |
| Public Examination Papers 2021 | |
| Public Examination Papers 2022 | |
