SECOND SEMESTER STSP-201 Random variable, Mathematical Expectation, Probability Distributions, Calculus of Finite differences, Numer...
SECOND SEMESTER
STSP-201
Random variable, Mathematical Expectation, Probability Distributions,
Calculus of Finite differences, Numerical Integration
Full Marks 35
Pass Marks : 12
Unit-I:
Random variable Marks: 7
Definition of a discrete random variable, p.m.f. and c.di Idea of continuous random variable,
p.d.f.
Unit-II:
Mathematical Expectation Marks: 7
Mathematical Expectation of a random variable, theorems on the expectation of the sum and product of radom variables. Moment generating function (definition and properties).
Unit-III:
Probability Distributions Marks: 7
Standard univariate distributions
Discrete: Uniform, binomial, Poisson and hyopergeometric distribution.
Continuous: Uniform, normal, Chebyshev's inequality and applications, Week law of large
numbers, central limit theorem, de-Moivre’s theorem (definition only)
Unit-IV:
Calculus of Finite differences Marks: 7
Basic concepts: A and E operators, finite difference, interpolation formulae, Newton’s forward, backward, divided difference, Lagrange’s interpolation.
Unit-V:
Numerical Integration Marks: 7
Trapezoidal rule, Simpson’s 1/3rd rule, 3/8th rule, root of a polynomial equation, solution of simple problems by Newton-Raphson method (one-variable only).
STSP-202
Practical based on paper no STSP-iO1 and STSP-201
Full Marks : 30
Pass Marks : 10
Practical Notebook Marks: 5
Viva-voce Marks: 5
Experiment Marks: 20
TDC Syllabus (Arts) II Assam University 535
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