Table of Contents

Chapter 1 SETS 1. Examples of sets; basic notation 2. Subsets 3. Operations on sets 4. The algebra of sets 5. Cartesian product sets Chapter 2 PROBABILITY IN FINTE SAMPLE SPACES 1. Sample spaces 2. Events 3. The probability of an event 4. Some probability theorems 5. Conditional probability and compound experiments 6. Bayes' formula 7. Independent events 8. Independence of several events 9. Independent trials 10. A probability model in genetics Chapter 3 SOPHISTICATED COUNTING 1. Counting techniques and probability problems 2. Binomial coefficients Chapter 4 RANDOM VARIABLES 1. Random variables and probability functions 2. The mean of a random variable 3. The variance and standard deviation of a random variable 4 Joint probability functions; independent random variables 5. Mean and variance of sums of random variables; the sample mean 6. Covariance and correlation; sample mean (cont.) Chapter 5 BINOMIAL DISTRIBUTION AND SOME APPLICATIONS 1. Bernoulli trials and the binomial distribution 2. Testing a statistical hypothesis 3. An example of decision-making under uncertainty ANSWERS TO ODD-NUMBERED PROBLEMS INDEX