4 - 1. 4 - 2 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

... konulu sunumlar: "4 - 1. 4 - 2 Copyright © 2013 Pearson Education, Inc.. All rights reserved."— Sunum transkripti:

1 4 - 1

2 4 - 2 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

3 4 - 3 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

4 4 - 4 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

5 4 - 5 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

6 4 - 6 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

7 4 - 7 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

8 4 - 8 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

9 4 - 9 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

10 4 - 10 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

11 4 - 11 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

12 4 - 12 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

13 4 - 13 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

14 4 - 14 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

15 4 - 15 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

16 4 - 16 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

17 4 - 17 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

18 Copyright © 2013 Pearson Education, Inc. All rights reserved Chapter 4 Discrete Random Variables Süreksiz Rasgele Değişkenler

19 4 - 19 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

20 4 - 20 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

21 Copyright © 2013 Pearson Education, Inc. All rights reserved 4.1 Two Types of Random Variables Rasgele Değişkenlerin İki Türü

22 4 - 22 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

23 4 - 23 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

24 4 - 24 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Answer

25 4 - 25 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Answer

26 4 - 26 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Answer

27 Copyright © 2013 Pearson Education, Inc. All rights reserved 4.2 Probability Distributions for Discrete Random Variables Kesikli Rasgele Değişkenlerin Olasılık Dağılımları

28 4 - 28 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.2 Venn diagram for the two-coin- toss experiment

29 4 - 29 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 4.1 (Çizelge Şeklinde)

30 4 - 30 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.3 Probability distribution for coin- toss experiment: graphical form

31 4 - 31 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

32 4 - 32 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

33 4 - 33 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

34 4 - 34 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

35 4 - 35 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

36 4 - 36 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

37 4 - 37 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

38 Copyright © 2013 Pearson Education, Inc. All rights reserved 4.3 Expected Values of Discrete Random Variables Kesikli Rasgele Değişkenlerin Beklenen Değerleri

39 4 - 39 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.5 Probability distribution for a two- coin toss

40 4 - 40 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

41 4 - 41 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

42 4 - 42 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

43 4 - 43 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

44 4 - 44 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.6 Shapes of two probability distributions for a discrete random variable x

45 4 - 45 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

46 4 - 46 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

47 4 - 47 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

48 4 - 48 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

49 Copyright © 2013 Pearson Education, Inc. All rights reserved 4.4 The Binomial Random Variable Rasgele Değişimin Binom Dağılımı

50 4 - 50 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

51 4 - 51 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 4.2

52 4 - 52 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

53 4 - 53 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.8 Probability distribution for physical fitness example: graphical form

54 4 - 54 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 4.3

55 4 - 55 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

56 4 - 56 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 4.4

57 4 - 57 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.9 Binomial probability distribution for n=10 and p=.10, with highlighted

58 4 - 58 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

59 4 - 59 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

60 Copyright © 2013 Pearson Education, Inc. All rights reserved 4.5 The Poisson Random Variable Rasgele Değişimin Poisson Dağılımı

61 4 - 61 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

62 4 - 62 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

63 4 - 63 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.11 Probability distribution for number of blue-whale sightings

64 4 - 64 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 4.5

65 4 - 65 Copyright © 2013 Pearson Education, Inc.. All rights reserved.

66 Copyright © 2013 Pearson Education, Inc. All rights reserved The Hypergeometric Random Variable Hipergeometrik Rasgele Dağılım 4.6

67 4 - 67 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

68 4 - 68 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

69 4 - 69 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 4.12 Probability distribution for x in Example 4.15

70 4 - 70 Copyright © 2013 Pearson Education, Inc.. All rights reserved.