There are frequently situations where you have information on the conditional distribution of Y given X, but are interested in the conditional distribution of X given Y
Recalling Pr(Y = y = x) = , derive a relationship between Pr(X = x = y) and Pr(Y = y = x). This is called Bayes' theorem.
What will be an ideal response?
Answer:
Given Pr(Y = y = x) = ,
Pr(Y = y = x) × Pr(X = x) = Pr(X = x, Y = y);
similarly Pr(X = x = y) = and
Pr(X = x = y) × Pr(Y = y) = Pr(X = x, Y = y). Equating the two and solving for Pr(X = x = y) then results in
Pr(X = x = y) = .
You might also like to view...
In the open-economy macroeconomic model, net capital outflow links the markets for loanable funds and foreign-currency exchange
a. True b. False Indicate whether the statement is true or false
A major complaint of DVCs about foreign aid from IACs is that it:
A. Is allocated just to the poorest nations B. Is equally borne by the donor nations C. Needs to be quantitatively larger for DVCs D. Takes too long a time to reach DVCs