Measurement scales, Attributes and Variable, Discrete and continuous variables. Collection, Compilation and Tabulation of data. Histogram, Frequency Polygon, Frequency Curve, Ogives. Mean, Median, Mode, Partition values, Standard deviation, moments, Sample and Population variance. Skewness and Kurtosis,, Correlation, Regression,Theory of attributes, conditional probability, Bayes’ theorem Discrete and Continuous random variables. Probability mass function and Probability density function. Cumulative distribution function. Expectation of single and two dimensional random variables. Properties of random variables. Moment generating function and probability generating functions. Bernoulli, Binomial, Poisson, Negative Binomial, Hypergeometric, Uniform, Normal distributions. Normal approximation to Binomial and Poisson distributions. Beta, Gamma, Chi-square and Bivariate normal distributions. Sampling distribution of mean and variance Chebyshev’s inequality, weak law of large numbers, Central limit theorems.

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