SOLUTION: A psychology quiz consists of ten true-or-false questions. If a student knows the correct answer to six of the questions, but determines the answers to the remaining questions by

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Question 629925: A psychology quiz consists of ten true-or-false questions. If a student knows the correct answer to six of the questions, but determines the answers to the remaining questions by flipping a coin. What is the probability that she will obtain a score of at least 90%?
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
true-or-false questions... student knows the correct answer to six of them
P(scoring ≥ 90%) = P(getting at least 3 of the remaining 4 correct)
P(x≥3) = P(3) + P(4) = 4C3(.5)^3(.5)^1 + 4C4(.5)^4
Note: The probability of x successes in n trials is:
P = nCx* where p and q are the probabilities of success and failure respectively.
In this case p & q are = 1/2 or .5
nCx =
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