SOLUTION: Assume that the test has 8 true/false questions, and 11 multiple choice questions (4 options per questions), each with exactly one correct answer. If a student guesses randomly o

Algebra ->  Probability-and-statistics -> SOLUTION: Assume that the test has 8 true/false questions, and 11 multiple choice questions (4 options per questions), each with exactly one correct answer. If a student guesses randomly o      Log On


   



Question 1135380: Assume that the test has 8 true/false questions, and 11 multiple choice questions (4 options per questions), each with exactly one correct answer.
If a student guesses randomly on each question, what is her expected score?

Answer by Glaviolette(140) About Me  (Show Source):
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Since she has a 50% chance of guessing the true/false correct, she would be expected to get 4 correct (.5*8). She has a 25% chance of guessing the multiple choice correct. .25 * 11 = 2.75. Therefore, her expected score is 4 + 2.75 = 6.75