To complete school you have to take standardized tests. Sometimes these multiple choice tests discourage guessing by subtracting points for wrong answers. In particular, a correct answer will be +1 and incorrect answer on a question with five listed answers (a through e) will be worth -1/4 point.  (a) find the expected value for a random guess (B) find the expected value of eliminating one answer and guessing among the four remaining possible answers. (Enter an exact number as an integer, fraction or decimal) (c) find the expected value of eliminating three answers and guessing between the two remaining  possible answers. (Enter an exact number as an integer, fraction of decimal.)

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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.