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Chapter 1 SETS1. Examples of sets; basic notation2. Subsets3. Operations on sets4. The algebra of sets5. Cartesian product setsChapter 2 PROBABILITY IN FINTE SAMPLE SPACES1. Sample spaces2. Events3. The probability of an event4. Some probability theorems5. Conditional probability and compound experiments6. Bayes' formula7. Independent events8. Independence of several events9. Independent trials10. A probability model in geneticsChapter 3 SOPHISTICATED COUNTING1. Counting techniques and probability problems2. Binomial coefficientsChapter 4 RANDOM VARIABLES1. Random variables and probability functions2. The mean of a random variable3. The variance and standard deviation of a random variable4 Joint probability functions; independent random variables5. Mean and variance of sums of random variables; the sample mean6. Covariance and correlation; sample mean (cont.)Chapter 5 BINOMIAL DISTRIBUTION AND SOME APPLICATIONS1. Bernoulli trials and the binomial distribution2. Testing a statistical hypothesis3. An example of decision-making under uncertaintyANSWERS TO ODD-NUMBERED PROBLEMSINDEX
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