## Probability of events

What are the various counting techniques## Conditional probability and Bayes theorem

How to evaluate conditional probabilities## Two random variables

How to differentiate bivariate discrete random variables and bivariate continuous random variables## Product moments of bivariate random variables

How to determine the Covariance of Bivariate Random variablesHow to determine the independence of random variables

How to determine the variance of the linear combination of random variables

How to obtain the functional dependency of random variables using the correlation coefficients

## Conditional expectation of bivariate random variables

How to determine the conditional expected values## Sequences of random variables and order statistics

How to determine sample mean and varianceWhat is the weak law of large numbers

How to use the Central limit theorem

## Distributions associated with normal populations

What is a Chi-square distribution## Techniques for finding point estimators for parameters

How to use the maximum likelihood method## Techniques for finding interval estimators for parameters

How to use the pivotal quantity methodHow to construct a confidence interval for population mean

How to construct a confidence interval for population variance

How to construct an approximate confidence interval for parameter with MLE

How to use the statistical method