SCHEME/SYLLABUS
: MCA(SE)
(First Semester)
Code
No. : BA 609
Paper: Mathematics I
Probability: Sample space, events, axioms, conditional probability, Baye’s rule, random variables: discrete and continuous, distribution and density functions, marginal and conditional distributions, stochastic independence.
Expectation: expectation of a function, conditional expectation and variance, moment , moment generating function, cumulant generating functions , skewness, kurtosis, characteristic functions, distributions: discrete and continuous distributions.
Probability distributions: Random variables, mean and variance of a probability distribution, Chebyshev theorem, law of large number, central limit theorem, binomial distribution, poisson distribution, , poisson approximation to binomial distribution, poisson distribution, poisson approximation to binomial distribution, poisson processes.
Probability Densities: Continuous random variables, normal distribution, normal approximation to the binomial distribution.
Sampling distributions: Population and samples, sampling distribution of the mean (s known), sampling distribution of the mean (s unknown), sampling distribution of the variance. Testing of statistical hypothesis, F-test, T-test, c2 –test.
Curve fitting: The method of least square, inferences based on the least square estimators, curvilinear regression , multiple regression, correlation.
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