Week 01 Events and outcomes 01 Theory 02 Illustration 03 Theory Probability models 04 Theory 05 Illustration Conditional probability 06 Theory 07 Illustration 08 Theory 09 Illustration Week 02 Bayes’ Theorem 01 Theory 02 Illustration Independence 03 Theory 04 Illustration Tree diagrams 05 Theory 06 Illustration Counting 07 Theory 08 Illustration Week 03 Repeated trials 01 Theory 02 Illustration Reliability 03 Theory 04 Illustration Discrete random variables 05 Theory 06 Illustration Week 04 Bernoulli process 01 Theory - Bernoulli, binomial, geometric, Pascal, uniform 02 Illustration Expectation and variance 03 Theory - Expectation and variance 04 Illustration Poisson process 05 Theory - Poisson variable 06 Illustration 07 Theory - Poisson limit of binomial Week 05 Discrete families: summary 01 Theory Function on a random variable 02 Theory 03 Illustration 04 Theory 05 Illustration Continuous wait times 06 Theory 07 Illustration 08 Theory Week 06 Continuous families: summary 01 Theory Normal distribution 02 Theory 03 Illustration Week 07 Joint distributions 01 Theory 02 Illustration 03 Theory 04 Illustration Independent random variables 05 Theory 06 Illustration Week 08 Functions on two random variables 01 Theory 02 Illustration Week 09 Sums of random variables 01 Theory 02 Illustration 03 Theory - extra 04 Illustration 05 Theory 06 Illustration Expectation for two variables 07 Theory 08 Illustration Covariance and correlation 09 Theory 10 Illustration 11 Theory 12 Illustration Week 10 False Review: Conditional probability Conditional distribution 01 Theory 02 Illustration Conditional expectation 03 Theory 05 Illustration 04 Theory - extra 05 Illustration - extra Week 11 Summations 01 Theory 02 Illustration Central Limit Theorem 03 Theory 04 Illustration 05 Theory - extra 06 Theory 07 Illustration 08 Theory 09 Illustration Week 12 Deviations 01 Theory - Tail estimation 02 Theory - Sample mean 03 Illustration Large Numbers 04 Theory - Law of Large Numbers 05 Illustration Week 13 Significance testing 06 Theory - Significance testing 07 Illustration Binary hypothesis testing 01 Theory - Binary testing, MAP and ML 02 Illustration 03 Theory - MAP criterion proof 04 Theory - MC design 05 Illustration Week 14 Mean square error 06 Theory - Minimum mean square error 07 Illustration 08 Theory - Line of minimal MSE 09 Illustration