Consider a graduate course multiple-choice examination with 50 questions. Each question has four possible answers. Assume that a student who has completed the coursework has a 77% probability of answering any question correctly.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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  1. Consider a graduate course multiple-choice examination with 50 questions. Each question has four possible answers. Assume that a student who has completed the coursework has a 77% probability of answering any question correctly.

    1. (2) A student must answer 40 or more questions correctly to obtain a grade of A. What percentage of the students who have completed the coursework will obtain a grade of A on this multiple-choice examination?

      Hint: Use Excel function BINOM.DIST.

    2. (2) A student who answers 30 to 39 questions correctly will receive a grade of B. What percentage of the students who have completed the coursework will obtain a grade of B on this multiple-choice examination?

    3. (2) Consider a student who has done none of the coursework. Assume that this student will simply guess at the answer to each question. What is the probability that this student will answer 30 or more questions correctly and pass the examination?

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