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4- 1 4- 2 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4- 3 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4- 4 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4- 5 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4- 6 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4- 7 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4- 8 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4- 9 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4 - 10 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4 - 11 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4 - 12 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4 - 13 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4 - 14 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4 - 15 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4 - 16 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4 - 17 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Chapter 4 Discrete Random Variables Süreksiz Rasgele Değişkenler Copyright © 2013 Pearson Education, Inc. All rights reserved Figure 4.1 Venn diagram for coin-tossing experiment (Para-atma deneyi için Venn diyagramı) Para deneyinde yazı gelen durumlar 4 - 19 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition 4 - 20 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4.1 Two Types of Random Variables Rasgele Değişkenlerin İki Türü Copyright © 2013 Pearson Education, Inc. All rights reserved Definition 4 - 22 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition 4 - 23 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Answer Copyright © 2013 Pearson Education, Inc.. All rights reserved. Answer 4 - 24 Answer 4 - 25 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Answer 4 - 26 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4.2 Probability Distributions for Discrete Random Variables Kesikli Rasgele Değişkenlerin Olasılık Dağılımları Copyright © 2013 Pearson Education, Inc. All rights reserved Figure 4.2 Venn diagram for the two-cointoss experiment 4 - 28 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 4.1 (Çizelge Şeklinde) 4 - 29 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.3 Probability distribution for cointoss experiment: graphical form 4 - 30 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition 4 - 31 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition 4 - 32 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4 - 33 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4 - 34 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4 - 35 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4 - 36 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4 - 37 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4.3 Expected Values of Discrete Random Variables Kesikli Rasgele Değişkenlerin Beklenen Değerleri Copyright © 2013 Pearson Education, Inc. All rights reserved Figure 4.5 Probability distribution for a twocoin toss 4 - 39 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition 4 - 40 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition 4 - 41 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition 4 - 42 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure 4 - 43 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.6 Shapes of two probability distributions for a discrete random variable x 4 - 44 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4 - 45 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4 - 46 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4 - 47 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4 - 48 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4.4 The Binomial Random Variable Rasgele Değişimin Binom Dağılımı Copyright © 2013 Pearson Education, Inc. All rights reserved Definition 4 - 50 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 4.2 4 - 51 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure 4 - 52 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.8 Probability distribution for physical fitness example: graphical form 4 - 53 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 4.3 4 - 54 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition 4 - 55 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 4.4 4 - 56 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.9 Binomial probability distribution for n=10 and p=.10, with P ( x 2) highlighted 4 - 57 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.10 The binomial probability distribution for x in Example 4.13; n=20 and p=.6 4 - 58 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4 - 59 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4.5 The Poisson Random Variable Rasgele Değişimin Poisson Dağılımı Copyright © 2013 Pearson Education, Inc. All rights reserved Definition 4 - 61 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure 4 - 62 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.11 Probability distribution for number of blue-whale sightings 4 - 63 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 4.5 4 - 64 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4 - 65 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4.6 The Hypergeometric Random Variable Hipergeometrik Rasgele Dağılım Copyright © 2013 Pearson Education, Inc. All rights reserved Definition 4 - 67 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure 4 - 68 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.12 Probability distribution for x in Example 4.15 4 - 69 Copyright © 2013 Pearson Education, Inc.. All rights reserved. 4 - 70 Copyright © 2013 Pearson Education, Inc.. All rights reserved.