A box contains 4 black balls and 6 white balls. A player randomly draws one ball and returns the ball to the box along with 2 additional balls with the same color. Then the player randomly draws another ball. Define the random variables as If the first ball is black, Y If the first ball is white, If the second ball is black, Y, If the second ball is white, a) Find E(Y,) and Var (Y,) b) Calculate P(Y, +Y, <1) c) Calculate covariance between Y, and Y, 6 3 and 1 2 A) 5 5 5 25 1 6 and 25' 5' 25 4 2 B) 1 and 25 5 4 1 C) ' 25 1 and 5 2 D) 25 5 25 3. II II

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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.