Page 33 - Applied Statistics And Probability For Engineers

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2

Probability

CHAPTER OUTLINE

2-1 SAMPLE SPACES AND EVENTS 2-3 ADDITION RULES
2-1.1 Random Experiments 2-4 CONDITIONAL PROBABILITY
2-1.2 Sample Spaces 2-5 MULTIPLICATION AND TOTAL
PROBABILITY RULES
2-1.3 Events
2-5.1 Multiplication Rule
2-1.4 Counting Techniques (CD Only)
2-5.2 Total Probability Rule
2-2 INTERPRETATIONS OF
PROBABILITY 2-6 INDEPENDENCE
2-2.1 Introduction 2-7 BAYES’ THEOREM
2-2.2 Axioms of Probability 2-8 RANDOM VARIABLES

LEARNING OBJECTIVES

After careful study of this chapter you should be able to do the following:
1. Understand and describe sample spaces and events for random experiments with graphs, tables,
lists, or tree diagrams
2. Interpret probabilities and use probabilities of outcomes to calculate probabilities of events in dis-
crete sample spaces
3. Calculate the probabilities of joint events such as unions and intersections from the probabilities
of individual events
4. Interpret and calculate conditional probabilities of events
5. Determine the independence of events and use independence to calculate probabilities
6. Use Bayes’ theorem to calculate conditional probabilities
7. Understand random variables
CD MATERIAL
8. Use permutation and combinations to count the number of outcomes in both an event and the
sample space.

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