Sumários
conditional expected values and variances. Uniform discrete distribution. Bernoulli and Binomial distributions.
7 Novembro 2013, 16:30 • Graça Leão Fernandes
Mini test number 3.
Exercises solved:
Chapter 4: 4.56, 4.58
chapter 5: 5.40, 5.41, 5.44 + from extra exercises for chapter 4 nºs 4, 5b.
Some important discrete distributions
6 Novembro 2013, 15:30 • Graça Leão Fernandes
Discrete uniform distribution:
- definition;
- probability and cumulative distribution functions;
- moment generating function: expected value, variance and symmetry.
Bernoulli distribution:
- definition of a Bernoulli trial;
- definition of a Bernoulli random variable;
- probability and cumulative distribution functions;
- moment generating function: expected value, variance and symmetry.
Binomial distribution:
- definition of a Binomial random variable;
- relationship between Bernoulli and Binomial random variables;
- probability and cumulative distribution functions;
- moment generating function: expected value, variance and symmetry;
- using tables and calculators to compute probabilities.
Conditional expectations
4 Novembro 2013, 16:00 • Graça Leão Fernandes
Conditional expectations for Two dimensional discrete and continuous random variables
Expected values of random variables
21 Outubro 2013, 16:00 • Graça Leão Fernandes
Expected values of random variables:
- Expected values of discrete random variables;
- Expected values of continuous random variables;
- Properties of the expected value;
- Expected values of functions of random variables.
Moments about the origin: definition, interpretation and computation for discrete and continuous random variables.
Two dimensional discrete and continuous random variables
17 Outubro 2013, 16:30 • Graça Leão Fernandes
Exercises solved in the class: nºs 26, 30 and 35 from extra exercises of chapter 2
Mini test for assessment in the pratical class