UNIT-I:
Random variables- discrete and continuous random variables –distribution functionproperties-
probability mass function, probability density function-mathematical expectation –
addition and multiplication theorems on expectations
Unit-II:
Moment generating and cumulating generating & characteristic functions and their
properties.Joint probability distributions-marginal and conditional probability distributionsindependence
of random variables.-Simple problems. Tchebychev’s inequality, weak law of
large numbers and central limit theorem.
Unit – III:
Probability distributions: Binomial, Poisson and Normal distributions and their properties
and fitting of distributions.
Anx.18 D - B.Sc Maths (SDE) 2007-08 Page 5 of 26
Unit – IV:
Transformation of variables (one & two dimensional only).Chi-square, t and F Statistics,
their probability functions and their properties.
Unit – V:
Curve fitting and principle of least squares: fitting of curves of straight line, second
degree parabola, power curve and exponential curves-correlation and regression analysis.UNIT-I:
Random variables- discrete and continuous random variables –distribution functionproperties-
probability mass function, probability density function-mathematical expectation –
addition and multiplication theorems on expectations
Unit-II:
Moment generating and cumulating generating & characteristic functions and their
properties.Joint probability distributions-marginal and conditional probability distributionsindependence
of random variables.-Simple problems. Tchebychev’s inequality, weak law of
large numbers and central limit theorem.
Unit – III:
Probability distributions: Binomial, Poisson and Normal distributions and their properties
and fitting of distributions.
Anx.18 D - B.Sc Maths (SDE) 2007-08 Page 5 of 26
Unit – IV:
Transformation of variables (one & two dimensional only).Chi-square, t and F Statistics,
their probability functions and their properties.
Unit – V:
Curve fitting and principle of least squares: fitting of curves of straight line, second
degree parabola, power curve and exponential curves-correlation and regression analysis.

## BSc Subjects