Notes for Probability and Statistics - PS by Verified Writer

Introduction to Probabilty

Probability, Introduction, Probability of an event, additive rule multiplication rule,

Conditional Probability Bayes Rule

Random Variable Probabilty Distribution

Discrete Probability Distribution, Continuous Probability Distribution

Joint Probability Distribution, Marginal Distribution, Conditional Probability Distribution

Variance and Co-Variance of Random Variables

Mean and Co-variance of Linear Combination of Random Variables

Chebyshev Theorem

Binomial Distribution, Multinomial Distribution

Hypo-geometric Distribution, Geometric Distribution

Poisson Distribution

Negative Binomial, Continuous Uniform Distribution

Normal Distribution, Variance of Normal Distribution

Exponential Distribution, Chi-square Distribution

Sampling Distribution, Sampling distribution of S2, t- distribution, F-distribution

Estimation of parameter, methods of estimation, Estimating the mean of a single sample, Standard error, Prediction interval, Tolerance limits, Estimating the difference between means of two samples, Estimating proportion and variance of a single sample, Estimating the difference between two proportions and variances of two samples, maximum likelihood estimation,

Test of hypothesis, one and two tailed test, test on a single mean when variance is known variance is unknown Test on two means, test on a single mean population and test on two populations One r nand two sample test for variance 2 test for goodness of fit and test for independence

Maximum Likelyhood estimation

Hypothesis Testing on Mean

Simple Linear Regression Model

Properties of Least Square Estimators