Chiang Mai Journal of Science

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In  multiple  choice  tests, students  choose  the  answers  by guessing when they cannot utilize their knowledge. Thus, the total score of any examination  paper, denoted by T, comprises a real score from knowledge - based answer, denoted by R, and a guessing score from answering the questions by choosing at random, denoted by X. Thus  T = R+X. The conditional expectation of R given T = t in multiple choice  tests  at large numbers of items is studied in this paper.

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