Applied Statistics and Probability for Engineers
24 CHAPTER 2 PROBABILITY Diagrams are often used to portray relationships between sets, and these diagrams are also used to desc ...
2-1 SAMPLE SPACES AND EVENTS 25 Provide a reasonable description of the sample space for each of the random experiments in Exerc ...
26 CHAPTER 2 PROBABILITY 2-19. Three events are shown on the Venn diagram in the following figure: Reproduce the figure and shad ...
2-2 INTERPRETATIONS OF PROBABILITY 27 resistance. Determine the number of disks in and . 2-27. Samples of a cast aluminum part a ...
Whenever a sample space consists of Npossible outcomes that are equally likely, the probability of each outcome is 1 N. 28 CHAP ...
2-2 INTERPRETATIONS OF PROBABILITY 29 It is frequently necessary to assign probabilities to events that are composed of several ...
30 CHAPTER 2 PROBABILITY EXAMPLE 2-11 A visual inspection of a location on wafers from a semiconductor manufacturing process re- ...
2-2 INTERPRETATIONS OF PROBABILITY 31 Probability is a number that is assigned to each member of a collection of events from a r ...
32 CHAPTER 2 PROBABILITY 2-38. A sample space contains 20 equally likely outcomes. If the probability of event Ais 0.3, how many ...
2-3 ADDITION RULES 33 2-3 ADDITION RULES Joint events are generated by applying basic set operations to individual events. Union ...
If Aand Bare mutually exclusive events, P 1 A ́ B 2 P 1 A 2 P 1 B 2 (2-2) 34 CHAPTER 2 PROBABILITY the probability that a wafe ...
2-3 ADDITION RULES 35 Upon expanding by Equation 2-1 and using the distributed rule for set opera- tions to simplify , we obtain ...
36 CHAPTER 2 PROBABILITY probability is the sum of any collection of mutually exclusive events with union equal to the same rang ...
2-4 CONDITIONAL PROBABILITY 37 Tool 1 roundness conforms yes no surface finish yes 200 1 conforms no 4 2 Tool 2 roundness confor ...
The conditional probabilityof an event Bgiven an event A, denoted as , is (2-5) for .P 1 A 2 0 P 1 BƒA 2 P 1 A ̈B 2 P 1 A 2 P ...
2-4 CONDITIONAL PROBABILITY 39 Therefore, can be interpreted as the relative frequency of event Bamong the trials that produce a ...
40 CHAPTER 2 PROBABILITY What is the conditional probability that bis selected second given that ais selected first? Because thi ...
2-4 CONDITIONAL PROBABILITY 41 Sometimes a partition of the question into successive picks is an easier method to solve the prob ...
42 CHAPTER 2 PROBABILITY 2-60. The following table summarizes the analysis of samples of galvanized steel for coating weight and ...
2-5 MULTIPLICATION AND TOTAL PROBABILITY RULES 43 The last expression in Equation 2-6 is obtained by interchanging Aand B. EXAMP ...
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