Probability Theory

INTRODUCTION WHERE DO PROBABILITIES COME FROM? DETERMINISTIC AND STOCHASTIC MODELS FREQUENTIST AND OTHER APPROACHES RELATIVE FREQUENCIES EXPERIMENTS WITH INFINITELY MANY OUTCOMES PROPERTIES OF PROBABILITY BASIC PROPERTIES ADDITIVITY DENSITY FUNCTIONS COUNTABLE ADDITIVITY PROBABILITY DISTRIBUTIONS AND RANDOM VARIABLES THE DISCRETE CASE THE BINOMIAL DISTRIBUTION THE CONTINUOUS CASE THE NORMAL DISTRIBUTION THE CHI-SQUARED DISTRIBUTION CONCLUSIONS NOTES REFERENCES ABOUT THE AUTHOR