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.)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 22E
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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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Consider a multiple choice exam with 5 choices with a correct answer worth +1 points and wrong answer worth -1/4 point

 

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