SOLUTION: A standardized test consists of only multiple choice questions, each with 5 possible choices. You want to ensure that a student who randomly guesses on each question will obtain an

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Question 1048132: A standardized test consists of only multiple choice questions, each with 5 possible choices. You want to ensure that a student who randomly guesses on each question will obtain an expected (or mean) score of zero.

How would one accomplish this?
What is the key mathematical principle one learns in answering this question?
Would an instructor use this principle on a test? Why or why not?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A standardized test consists of only multiple choice questions, each with 5 possible choices. You want to ensure that a student who randomly guesses on each question will obtain an expected (or mean) score of zero.
How would one accomplish this?
What is the key mathematical principle one learns in answering this question?
Would an instructor use this principle on a test? Why or why not?
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p = P(correct) = 1/5 ; q = P(wrong) = 4/5
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Expected number of correct if quessing = p*n = 1/5*5 = 1
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Applying the expected number to the problem::
Any student having zero or one correct answer will be given
a score of zero for the test.
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Use this priciple?? I'll leave that up to you..
Cheers,
Stan H.
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