YEAR SEMESTER TITLE OF PAPER L T P C Discipline specific Elective Course- Probability and Statistics I II B.Sc-Mathematics 5 1 0 6 OBJECTIVES: To understand the basic concepts of Probability and Random Variables To understand the basic concepts in Discrete distributions and Continuous distribution To understand the basic concepts of Statistics, Central Tendency. To understand the concepts of Correlation and Regression. Unit I Introduction to Probability – Introduction Probability axioms Conditional probability Baye’s theorem - Independent – – – evens. Unit II Random Variables – Random variable Probability distribution of a random variable Discrete & continuous – – variable Expected value Functions of a random variable Moment generating functions. – – – Unit III Standard Distributions – Binomial distribution Poisson distribution Geometric, Normal, Exponential distribution. – – Unit IVMeasures of central tendency and Dispersion – Measures of central tendency Median, Mode, Measures of Dispersion Range, Quartile –Mean, – deviation, Standard Deviation, Mean Deviation and their Coefficients. Unit VCorrelation and Regresion – Correlation- Rank Correlation- Regression Text Book: B.K Manmohan, MATHEMATICAL STATISTICS, S.Chand& Co, New Delhi. Reference Book: - 1. P.K Gupta, STATISTICS, S.Chand& Co. 2. P.R.Vittal, STATISTICS, Margham publications.
YEAR SEMESTER TITLE OF PAPER Discipline specific Elective Course- Probability and Statistics L T P C I II B.Sc-Mathematics 5 1 0 6 OBJECTIVES: To understand the basic concepts of Probability and Random Variables To understand the basic concepts in Discrete distributions and Continuous distribution To understand the basic concepts of Statistics, Central Tendency. To understand the concepts of Correlation and Regression. Unit – I Introduction to Probability Introduction – Probability axioms – Conditional probability – Baye’s theorem - Independent evens. Unit – II Random Variables Random variable – Probability distribution of a random variable – Discrete & continuous variable – Expected value – Functions of a random variable – Moment generating functions. Unit – III Standard Distributions Binomial distribution – Poisson distribution – Geometric, Normal, Exponential distribution. Unit – IVMeasures of central tendency and Dispersion Measures of central tendency –Mean, Median, Mode, Measures of Dispersion – Range, Quartile deviation, Standard Deviation, Mean Deviation and their Coefficients. Unit – VCorrelation and Regresion Correlation- Rank Correlation- Regression Text Book: B.K Manmohan, MATHEMATICAL STATISTICS, S.Chand& Co, New Delhi. Reference Book: - 1. P.K Gupta, STATISTICS, S.Chand& Co. 2. P.R.Vittal, STATISTICS, Margham publications.