Unit 2.1

Question 1

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Explain Distribution

Answer 1

Distribution p is called
■ probability if the random variable is disrete,
■ density if the random variable is continuous.
1. Joint distribution:
□ p(x,y): density/probability of observing the pair of input x and target y
2. Marginal distributions:
□ p(x): density/probability of observing input x
□ p(y): density/probability of observing target y
3. Conditional distributions:
□ p(x|y): density/probability of input x for a given target y
□ p(y|x): density/probability of target y for a given input x

Question 2

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Give formulas for conditional probability, Bayes’ Theorem and marginal densities

Answer 2

See Unit2.1.pdf
slide 13

Question 3

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