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

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) (Show Source): You can put this solution on YOUR website!
Let X = r.v. representing the number of correct answers.
, to 5 decimal places.
, to 5 decimal places.
Therefore the lowest passing grade is a 7.
RELATED QUESTIONS
There are 10 true-false questions and 20 multiple choice questions from which to choose a (answered by Theo)

A statistics professor decides to give a final exam that has only 12 true-false... (answered by richwmiller)

Write out the sample space for the following scenario. A student randomly guesses the... (answered by ewatrrr)

This is the last problem i need help on... A professor gives a test with 100... (answered by stanbon)

I am asked if the following is True or False. And I am asked to explain my answer.... (answered by rapaljer)

Statistic question A psychology professor gives a surprise quiz consisting of 10... (answered by rothauserc)

A Student taking a 20-question true-false test decides on his answers by tossing a fair... (answered by ewatrrr)

Sally takes a quiz with three true or false questions. She does not know the answer to... (answered by Fombitz)

A survey at a certain school shows that 20% of the students are enrolled in Math, 23% are (answered by richwmiller)