Sumários

5 Dezembro 2014, 15:30 • Graça Leão Fernandes

exercises from the book- chapter 6 - nºs: 6.75, 6.77, 6.79

exercises for chapter 5 - nºs: 26, 27, 28, 37

2 Dezembro 2014, 13:30 • Graça Leão Fernandes

Normal distribution (cont.):

- Relationship between the notmal and the standard normal distribution and the Chi-square distribution.

Central Limit Theorem:

- De Moivre Laplace Corolary. Correction of continuity.

Examples

1 Dezembro 2014, 13:30 • Graça Leão Fernandes

Normal distribution:

- Probability density, cumulative distribution and momente generating functions;

- The standard normal distribution

- How to standardize a normal distribution;

- Probability density, cumulative distribution and momente generating functions;

- how to use the tables of the cumulative distribution function and its inverse.

- Using the calculator to compute probabilities.

- Theorem of aditivity for the sum of independent random variables

- Examples

28 Novembro 2014, 15:30 • Graça Leão Fernandes

Resolution of the 4th mini test.

Solving exercises from:

book - nºs 6.1, 6.54, 6.56, 6.59;

Exercises for chapter 5 - nºs 1, 3, 14, 17, 19

25 Novembro 2014, 13:30 • Graça Leão Fernandes

Gama:

- The relation between the Exponential and Gamma distributions;

- Probability density and cumulative distribution functions;

- Moment generating function, mean and variance;

- theorem of aditivity

Chi-Square distribution:

- The relation between the Gamma and Chi-Square distributions;

- Probability density and cumulative distribution functions;

- Moment generating function, mean and variance;

- theorem of aditivity