#Probability&Statistics

#Probability&Statistics Algebra of Sets: sets and classes, limit of a sequence of sets, rings, sigmarings, fields, sigma-
fields, monotone classes.

Probability: Classical, relative frequency and axiomatic definitions of probability, addition
rule and conditional probability, multiplication rule, total probability, Bayes’ Theorem and
independence, problems.
Random Variables: Discrete, continuous and mixed random variables, probability mass,
probability density and cumulative distribution functions, mathematical expectation, moments,
probability and moment generating function, median and quantiles, Markov inequality,
Chebyshev’s inequality, problems, Function of a random variable, problems.
Special Distributions: Discrete uniform, binomial, geometric, negative binomial,
hypergeometric, Poisson, continuous uniform, exponential, gamma, Weibull, Pareto, beta,
normal, lognormal, inverse Gaussian, Cauchy, double exponential distributions, reliability and
hazard rate, reliability of series and parallel systems, problems.
Joint Distributions: Joint, marginal and conditional distributions, product moments,
correlation and regression, independence of random variables, bivariate normal distribution,
problems.
Sampling Distributions: The Central Limit Theorem, distributions of the sample mean and
the sample variance for a normal population, Chi-Square, t and F distributions, problems.
Descriptive Statistics: Graphical representation, measures of locations and variability.
Estimation: Unbiasedness, consistency, the method of moments and the method of maximum
likelihood estimation, confidence intervals for parameters in one sample and two sample
problems of normal populations, confidence intervals for proportions, problems.
Testing of Hypotheses: Null and alternative hypotheses, the critical and 8 acceptance regions,
two types of error, power of the test, the most powerful test and Neyman-Pearson Fundamental
Lemma, tests for one sample and two sample problems for normal populations, tests for
proportions, Chisquare goodness of fit test and its applications, problems.
Laboratory Work: Implementation of statistical techniques using statistical packages viz.
SPSS R including evaluation of statistical parameters and data interpretation, Regression
Analysis, Covariance, Hypothesis testing and analysis of variance.

[abhishekpandey]

Mam notes or practice set which u were talking about in this video ..if uploaded please share the link and if not uploaded i would request u to upload it


Mam ur way of teaching is simple and powerful ..and the way u call beta to ur students just shows ur loving nature..ur students are blessed to have you❤️

[prakhar]

MAAM why at 27:34 we will consider (2, 2) as event of B ?