chapter 7 - discrete probability

Section 7.0 7.0.1

Chapter 7DiscreteProbability

7.1 Intro to Discrete Probability

7.2 Probability Theory

7.3 Bayes’s Theorem

7.4 Expected Value and Variance

coursenotes by Prof. J. L. Gross for Rosen 7th Edition

Section 7.1 Intro to Probability 7.1.1

7.1 INTRO TO PROBABILITY


7.1.2 Chapter 7 Discrete Probability



UNIFORM PROBABILITY MEASURE



INFINITE SAMPLE SPACES (optional)



PROBABILITY of the COMPLEMENTARY EVENT



PROBABILITY of a UNION of EVENTS


Section 7.2 Probability Theory 7.2.1

7.2 PROBABILITY THEORY



TWO STANDARD EXAMPLES



PROPERTIES of PROBABILITY MEASURES



BERNOULLI DISTRIBUTIONS



CLASSROOM EXERCISE



CONDITIONAL PROBABILITY



INDEPENDENCE



RANDOM VARIABLES


Section 7.3 Bayes’s Theorem 7.3.1

7.3 BAYES’S THEOREM


Section 7.3 Bayes’s Theorem 7.3.3


Section 7.4 Expected Value and Variance 7.4.1

7.4 EXPECTED VALUE AND VARIANCE



SUMMING RANDOM VARIABLES



GEOMETRIC DISTRIBUTION



INDEPENDENT RANDOM VARIABLES



VARIANCE and STANDARD DEVIATION



CHEBYSHEV INEQUALITY


chapter 7 - discrete probability

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