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2017-12-12

-- Practice Final

6. give an example of computing probability using conditioning.

conditioning:

 = P(Y) = ∑ P(Y|z)P(z)

example:

 w = weather = {sunny, rainy}
 P(sunny) = .9
 P(rainy) = .1
 P(picnic|sunny) = .9
 P(picnic|rainy) = .1

 P(picnic) = ∑ P(picnic|w)P(w)
 = P(picnic|sunny)P(sunny) + P(picnic|rainy)P(rainy)
 =(.1*.9)+(.1*.9) = .18 
 = 18% probability of a picnic

6. give an example of computing probability using conditioning. conditioning: = P(Y) = ∑ P(Y|z)P(z) example: w = weather = {sunny, rainy} P(sunny) = .9 P(rainy) = .1 P(picnic|sunny) = .9 P(picnic|rainy) = .1 P(picnic) = ∑ P(picnic|w)P(w) = P(picnic|sunny)P(sunny) + P(picnic|rainy)P(rainy) =(.1*.9)+(.1*.9) = .18 = 18% probability of a picnic