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.

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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.

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Conditional expectations

4 Novembro 2013, 16:00 • Graça Leão Fernandes

Conditional expectations for Two dimensional discrete and continuous random variables

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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.

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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

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