MATH103, Probability I

Undergraduate course, Lancaster University, Department of Mathematics & Statistics, 2019

My role: Graduate Teaching Assistant

Main topics:

The axioms of probability.

Conditional probability.

Independence.

Discrete random variables, probability mass functions, expectation and variance; Bernoulli, binomial, Poisson and geometric distributions.

Continuous random variables, probability density functions, cumultive distribution functions, expectation and variance; Uniform, exponential and gamma distributions.

Independence of random variables.

Chebychev inequality and the weak law of large numbers.