Researchers from the Educational Testing Service (ETS) found that providing immediate feedback to students answering openended questions can dramatically improve students' future performance on exams ( Educational and Psychological Measurement, Feb. 2010). The ETS researchers used questions from the Graduate Record Examination (GRE) in the experiment. After obtaining feedback, students could revise their answers. Consider one of these questions. Initially, 50% of the students answered the question correctly. After providing immediate feedback to students who answered incorrectly, 70% answered correctly. Consider a bank of 100 open-ended questions similar to those on the GRE. (a) In a random sample of 20 students, what is the probability that more than 10 initially answer the question correctly?

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In a random sample of 20 students what is the probability that more than 10 initially answer the question correctly? 

Researchers from the Educational Testing Service (ETS) found that providing immediate feedback
to students answering openended questions can dramatically improve students' future
performance on exams ( Educational and Psychological Measurement, Feb. 2010). The ETS
researchers used questions from the Graduate Record Examination (GRE) in the experiment.
After obtaining feedback, students could revise their answers. Consider one of these questions.
Initially, 50% of the students answered the question correctly. After providing immediate
feedback to students who answered incorrectly, 70% answered correctly. Consider a bank of 100
open-ended questions similar to those on the GRE.
(a) In a random sample of 20 students, what is the probability that more than 10 initially answer
the question correctly?
Transcribed Image Text:Researchers from the Educational Testing Service (ETS) found that providing immediate feedback to students answering openended questions can dramatically improve students' future performance on exams ( Educational and Psychological Measurement, Feb. 2010). The ETS researchers used questions from the Graduate Record Examination (GRE) in the experiment. After obtaining feedback, students could revise their answers. Consider one of these questions. Initially, 50% of the students answered the question correctly. After providing immediate feedback to students who answered incorrectly, 70% answered correctly. Consider a bank of 100 open-ended questions similar to those on the GRE. (a) In a random sample of 20 students, what is the probability that more than 10 initially answer the question correctly?
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