Sumários
Central Limit Theorem. Corrolary of de Moivre Laplace.
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
Normal distribution (cont.)Central Limit Theorem. De Moivre Laplace Corolary. Correction of continuity.
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
Normal distribution
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
Some important distributions of continuous random variables: Uniform, Exponencial, Gamma,Chi-Square
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
Some important distributions of continuous random variables: Gama and Chi-Square
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