A team of ISU students are to apply for a project competition where each project is examined by a jury of 2 experts at the initial stage. The grading scale for projects is from 1 to 3 (1: weak, 2: modest, 3: promising). Students are curious about the expected value of points given by each expert. Let X and Y represent the points given by first and second experts, respectively. The joint PMF of X and Y is given in the table below. E Click to view px y(x,y) (It is sometimes denoted as f(x,y) although the first notation is more precise). The first expert is expected to give E[X] = points. (Type an integer or a decimal. Round to two decimal places as needed.) The second expert is expected to give E[Y] = points. (Type an integer or a decimal. Round to two decimal places as needed.) Joint Distribution - X y f(x.y) 3. 0. 16 0.09 0.03 0.09 0 11 0.06 0.38 0.06 3 0 02 Print Done

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.