A Joint Distribution of Discrete Random Variables X Marginal Y Distribution Of Y Marginal Distribution of X

Bivariate U((0,1),(0,1))

Bivariate Normal Distribution

Three Senators’ Article I impeachment votes: Eight possible outcomes LottWellstoneLieberman ProbIF p=1/4 p3p3 1/64 p 2 (1-p)3/64 p 2 (1-p)3/64 p(1-p) 2 9/64 (1-p) 3 27/64 p 2 (1-p)3/64 p(1-p) 2 9/64 p(1-p) 2 9/64 Observed

Bernoulli Likelihood Function, Three observation case

The Effect of k(y)

Two Extrema

The MLE

Bernoulli Likelihood and Log- likelihood, three observation case

Ln(exports) by country, 2001