Probability An Introduction

Excellent basic text covers set theory, probability theory for finite sample spaces, binomial theorem, probability distributions, means, standard deviations, probability function of binomial distribution, and other key concepts and methods essential to a thorough understanding of probability. Includes 360 illustrative problems with answers for half. Only high school algebra needed. Chapter bibliographies.

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