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in the homework? That is, what is the probability that a randomly selected student has cheated?

in the homework? That is, what is the probability that a randomly selected student has cheated?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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10. An Economics instructor would like to find out the percentage of students who cheat in a homework. Since students does not like to look like a cheater in the eye of the instructor, the instructor constructed the following procedure in order to eliminate the incentive to misreport: I The student is asked to roll a die and without showing the result to the instructor answer the question "Did you cheat in the homework?" as YES or NO as follows: If the number shown is 1, then answer as NO, no matter what the true answer is. If the number shown is 6, then answer as YES, no matter what the true answer is. If the number shown is 2, 3, 4 or 5, then answer truthfully. After surveying a large group of students, using this method, the instructor calculated that 60% of the students answered YES. What can you say about the percentage of students who cheated in the homework? That is, what is the probability that a randomly selected student has cheated?
Transcribed Image Text:10. An Economics instructor would like to find out the percentage of students who cheat in a homework. Since students does not like to look like a cheater in the eye of the instructor, the instructor constructed the following procedure in order to eliminate the incentive to misreport: I The student is asked to roll a die and without showing the result to the instructor answer the question "Did you cheat in the homework?" as YES or NO as follows: If the number shown is 1, then answer as NO, no matter what the true answer is. If the number shown is 6, then answer as YES, no matter what the true answer is. If the number shown is 2, 3, 4 or 5, then answer truthfully. After surveying a large group of students, using this method, the instructor calculated that 60% of the students answered YES. What can you say about the percentage of students who cheated in the homework? That is, what is the probability that a randomly selected student has cheated?
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