1. Copyright © 2013 Pearson Education, Inc. All rights reserved Chapter 5 Continuous Random Variables

2. 5 - 2 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA5.1 Target placement on gun range

3. Copyright © 2013 Pearson Education, Inc. All rights reserved 5.1 Continuous Probability Distributions

4. 5 - 4 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.1 A probability f(x) for a continuous random variable x

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

6. 5 - 6 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.2 Density Function for Friction Coefficient, Example 5.1

7. Copyright © 2013 Pearson Education, Inc. All rights reserved 5.2 The Uniform Distribution

8. 5 - 8 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.3 The uniform probability distribution

9. 5 - 9 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

10. 5 - 10 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.4 Distribution for x in Example 5.2

11. 5 - 11 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.5 Probability that car breaks down within 1.5 months of purchase

12. Copyright © 2013 Pearson Education, Inc. All rights reserved 5.3 The Normal Distribution

13. 5 - 13 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.6 A normal probability distribution

14. 5 - 14 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.7 Several normal distributions with different means and Standard deviations

15. 5 - 15 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

16. 5 - 16 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.8 Several normal distributions:  0  1

17. 5 - 17 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

18. 5 - 18 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 5.1

19. 5 - 19 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.9 Areas under the standard normal curve for Example 5.3

20. 5 - 20 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.10 Finding z =1.33 in the standard normal table, Example 5.3

21. 5 - 21 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.11 Areas under the standard normal curve for Example 5.4

22. 5 - 22 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.12 Areas under the standard normal curve for Example 5.5

23. 5 - 23 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.13 Areas under the standard normal curve for Example 5.6

24. 5 - 24 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

25. 5 - 25 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.14 Areas under the normal curve for Example 5.7

26. 5 - 26 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

27. 5 - 27 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.15 Area under the normal curve for Example 5.8

28. 5 - 28 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.16 Area under the standard normal curve for Example 5.9

29. 5 - 29 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.17 Areas under the standard normal curve for Example 5.10

30. 5 - 30 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.18 Area under the normal curve for Example 5.11

31. 5 - 31 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA5.2 MINITAB worksheet with cumulative normal probabilities

32. Copyright © 2013 Pearson Education, Inc. All rights reserved 5.4 Descriptive Methods for Assessing Normality

33. 5 - 33 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

34. 5 - 34 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

35. 5 - 35 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 5.2

36. 5 - 36 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.19a MINITAB histogram for gas mileage data

37. 5 - 37 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.19b MINITAB Descriptive statistics for gas mileage data

38. 5 - 38 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.19c SPSS normal probability plot for gas mileage data

39. 5 - 39 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 5.3

40. 5 - 40 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table SIA5.1

41. 5 - 41 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA5.3a MINITAB histogram for the horizontal hit measurements when 

42. 5 - 42 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA5.3b MINITAB histogram for the horizontal hit measurements when 

43. 5 - 43 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA5.3c MINITAB histogram for the horizontal hit measurements when 

44. Copyright © 2013 Pearson Education, Inc. All rights reserved 5.5 Approximating a Binomial Distribution with a Normal Distribution (Optional)

45. 5 - 45 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.20 Binomial distribution for n  = 20, p =.6 and normal distribution with  = 12, 

46. 5 - 46 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.21 Rule of thumb for normal approximation to binomial probabilities

47. 5 - 47 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.22 Normal approximation to the binomial distribution with n = 200, p =.06

48. 5 - 48 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.23 Standard normal distribution

49. 5 - 49 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

50. Copyright © 2013 Pearson Education, Inc. All rights reserved The Exponential Distribution (Optional) 5.6

51. 5 - 51 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

52. 5 - 52 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.25 Exponential distributions

53. 5 - 53 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

54. 5 - 54 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.27 Area to the right of a = 5 for Example 5.14

55. 5 - 55 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.28 Area to the left of a = 5 for Example 5.15

56. 5 - 56 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 5.29 Area in the interval for Example 5.15