A Quiz Consists of 15 Multiple Choice Questions

question 81

Short Answer

A quiz consists of 15 multiple choice questions. Each question has 5 choices, with exactly one correct choice. A student, totally unprepared for the quiz, guesses on each of the 15 questions.
How many questions should the student expect to answer correctly?
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What is the standard deviation of the number of questions answered correctly?
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If at least 9 questions must be answered correctly to pass the quiz, what is the chance the student passes?
______________

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Definitions:

Andrew Johnson

The 17th president of the United States, who served from 1865 to 1869, succeeding Abraham Lincoln following his assassination, and was the first American president to be impeached.

Radical Republicans

Group within the Republican Party in the 1850s and 1860s that advocated strong resistance to the expansion of slavery, opposition to compromise with the South in the secession crisis of 1860–1861, emancipation and arming of black soldiers during the Civil War, and equal civil and political rights for blacks during Reconstruction.

Equal Rights

The principle that all people should have the same rights and opportunities without discrimination.

Thaddeus Stevens

A nineteenth-century U.S. politician and fierce advocate for the abolition of slavery and leader in the effort to implement Reconstruction policies aimed at securing rights for freed slaves.