Two Students Taking a Multiple Choice Exam with 20 Questions

question 16

Multiple Choice

Two students taking a multiple choice exam with 20 questions and four choices for each question have the same incorrect answer on seven of eight incorrectly answered problems. The probability that student B guesses the same incorrect answer as student A on a particular question is 1/4. If the student is guessing, the guess for one problem is independent of the guess for the other problems. The number of guesses by student B that agree with those of student A has mean and variance given by:

• A)  = 2 and  ² = 1.5.
• B)  = 2 and  ² = 1.5².
• C)  = 4 and  ² = 1.5.
• D)  = 2 and  = 1.5.

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Definitions:

Expressly Excludes

A contractual term used to specify that certain conditions or provisions are deliberately not covered within an agreement.

Vicarious Liability

Legal responsibility taken by one party for the actions of another, typically in an employer-employee relationship.

Independent Contractors

Individuals or entities hired to perform specific tasks or services for another entity under a contract, but who retain control over how those services are executed.

Constructive Notice

A legal concept where a person is deemed to have legal notice of a fact, even if they were not directly informed, often through public records.