Suppose an exam consists of multiple-choice questions, with each question having 5 options. Exactly one of the five options is the correct answer. Suppose 20 points are awarded for a correctly answered question. (a) How many points should be deducted for an incorrectly answered question, so that for a student guessing randomly, the expected score on a question is zero? (b) If a student is able to correctly eliminate one option as a possible correct answer but is still guessing randomly, what happens to his/her expected score for that question? Use your answer to (a) as the number of points being deducted for an incorrect answer.
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.
Suppose an exam consists of multiple-choice questions, with each question having 5 options. Exactly one of the five options is the correct answer. Suppose 20 points are awarded for a correctly answered question. (a) How many points should be deducted for an incorrectly answered question, so that for a student guessing randomly, the expected score on a question is zero? (b) If a student is able to correctly eliminate one option as a possible correct answer but is still guessing randomly, what happens to his/her expected score for that question? Use your answer to (a) as the number of points being deducted for an incorrect answer.
Given information:
Score awarded for correct answer = 20 points
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