1. Statistics

2. A two-dimensional random variable with a uniform distribution

6. variable 1 variable 2

7. Probability density function for variable 1 value probability

8. A two-dimensional random variable with a uniform distribution variable 1 variable 2

9. Probability density function for variable 2 value probability

10. A two-dimensional random variable with a multi-normal distribution variable 1 variable 2

11. A two-dimensional random variable with a multi-normal distribution variable 1 variable 2

12. A two-dimensional random variable with a multi-normal distribution variable 1 variable 2

13. A two-dimensional random variable with a multi-normal distribution variable 1 variable 2

14. A two-dimensional random variable with a multi-normal distribution variable 1 variable 2 Marginal probability density function - variable 1

15. A two-dimensional random variable with a multi-normal distribution variable 1 variable 2 Marginal probability density function - variable 1 mean

16. A two-dimensional random variable with a multi-normal distribution variable 1 variable 2 Marginal probability density function - variable 1 mean standard deviation

17. A single random variable with a multi-normal distribution mean standard deviation

18. A two-dimensional random variable with a multi-normal distribution variable 1 variable 2 marginal probability density function - variable 2 mean standard deviation

19. A two-dimensional random variable with a multi-normal distribution variable 1 variable 2

20. A two-dimensional random variable with a multi-normal distribution variable 1 variable 2 conditional probability density function - variable 1

21. A two-dimensional random variable with a multi-normal distribution variable 1 variable 2 conditional probability density function - variable 1

22. A two-dimensional random variable with a multi-normal distribution variable 1 variable 2 conditional probability density function - variable 1

23. Two-dimensional probability density function

24. To characterise a single random variable we need…..

25. A single random variable with a multi-normal distribution mean standard deviation

26. µ mean value variance σ2σ2

27. To characterise two random variables we need…..

28. A two-dimensional random variable with a multi-normal distribution variable 1 variable 2

29. µ 1 µ 2 mean values variance-covariance matrix σ 1 2 σ 12 σ 21 σ 2 2

30. µ 1 µ 2 mean values variance-covariance matrix σ 1 2 σ 12 σ 21 σ 2 2

31. A two-dimensional random variable with a multi-normal distribution variable 1 variable 2 Marginal probability density function - variable 1 mean standard deviation

32. A two-dimensional random variable with a multi-normal distribution variable 1 variable 2 marginal probability density function - variable 2 mean standard deviation

33. µ 1 µ 2 mean values variance-covariance matrix σ 1 2 σ 12 σ 21 σ 2 2

34. A two-dimensional random variable with a multi-normal distribution variable 1 variable 2 Parameter correlation

35. A two-dimensional random variable with a multi-normal distribution variable 1 variable 2 No parameter correlation

36. µ 1 µ 2 mean values variance-covariance matrix σ 1 2 0 0 σ 2 2