In a random sample of 20 students what is the probability that more than 10 initially answer the question correctly? **Study on Feedback and Student Performance**Researchers from the Educational Testing Service (ETS) conducted a study that revealed the impact of providing immediate feedback to students answering open-ended questions. This approach significantly enhances students' future performance on exams (Educational and Psychological Measurement, Feb. 2010). The study involved using questions from the Graduate Record Examination (GRE).In the experiment, students were allowed to revise their answers after receiving feedback. Initially, 50% of the students answered correctly. However, after receiving immediate feedback, 70% of those who initially answered incorrectly were able to correct their answers. The study considered a bank of 100 open-ended questions similar to those on the GRE.**Probability Question:**(a) In a random sample of 20 students, what is the probability that more than 10 initially answer the question correctly?Note: This probability question requires statistical calculations, potentially involving binomial distribution to determine the likelihood of more than 10 students answering correctly in a sample of 20.

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?

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?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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