SOLUTION: I need assistance with the following statistics: A literature professor decides to give a 20 question true-false quiz. She wants to choose the passing grade such that the proba

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Question 401943: I need assistance with the following statistics:
A literature professor decides to give a 20 question true-false quiz. She wants to choose the passing grade such that the probability of passing a student who guesses on every question is less than .10. What score should be set as the lowest passing grade?
Thanks,
Glenda Witherspoon

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let X = r.v. representing the number of correct answers.
%281%2F2%29%5E20%2A%28sum%2820Cx%2C+x+=+0%2C+6%29%29+=+0.05766, to 5 decimal places.
%281%2F2%29%5E20%2A%28sum%2820Cx%2C+x+=+0%2C+7%29%29+=+0.13159, to 5 decimal places.
Therefore the lowest passing grade is a 7.