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Two Students Taking a Multiple Choice Exam with 20 Questions μ\mu

Question 12

Multiple Choice

Two students taking a multiple choice exam with 20 questions and four choices for each question have the same incorrect answer on seven of eight incorrectly answered problems. The probability that student B guesses the same incorrect answer as student A on a particular question is 1/4. If the student is guessing, the guess for one problem is independent of the guess for the other problems. The number of guesses by student B that agree with those of student A has mean and variance given by:


A) μ\mu = 2 and σ\sigma 2 = 1.5.
B) μ\mu = 2 and σ\sigma 2 = 1.52.
C) μ\mu = 4 and σ\sigma 2 = 1.5.
D) μ\mu = 2 and σ\sigma = 1.5.

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