You are taking a multiple choice test for which you have mastered 70% of the material. Assume this means that you have a 0.7 chance of knowing the answer to a random test question, and that if you don't know the answer to a question then you randomly select among the four answer choices. Finally, assume that this holds for each question, independent of the others. What is your expected score (as a percent) on the exam?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 55SE: Use the following scenario for the exercises that follow: In the game of Keno, a player starts by...
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You are taking a multiple choice test for which you have mastered 70% of the material. Assume
this means that you have a 0.7 chance of knowing the answer to a random test question, and
that if you don't know the answer to a question then you randomly select among the four answer
choices. Finally, assume that this holds for each question, independent of the others.
What is your expected score (as a percent) on the exam?
Transcribed Image Text:You are taking a multiple choice test for which you have mastered 70% of the material. Assume this means that you have a 0.7 chance of knowing the answer to a random test question, and that if you don't know the answer to a question then you randomly select among the four answer choices. Finally, assume that this holds for each question, independent of the others. What is your expected score (as a percent) on the exam?
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