Relative Frequency | Definition & Examples

Bivariate Distribution | Definition, Formula & Examples

Joint Probability and Joint Distributions: Definition, Examples

Random variables x and y have the joint PMF given in Table 4.

SOLVED:Let p(x, y) be the joint PMF of two discrete r.v.s X and Y. Using shorthand notation as we used with the Gibbs sampler, let p(x) and p(y) be the marginal PMFs of X and Y, and p(x |y) and p(y |x) be the conditional PMFs of X given Y and Y given X. Suppose the support of Y is the same as the support of the conditional distribution of Y |X. (a) Use the identity p(x) p(y |x)=p(y) p(x |y) to find an expression for the marginal PMF p(y) in terms of the conditional PMFs p(x |y) and p(y |x). Hint