SOLUTION: A fifteen question multiple choice exam is created with four possible answers for each of the questions. The test is then administered to a student. Determine the probability th

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Question 873089: A fifteen question multiple choice exam is created with four possible answers for each of the questions. The test is then administered to a student. Determine the probability that the student will correctly answer more than seven questions if the student randomly selects answers from the response options?
Enter your response as a three digit decimal.
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Q:
A fifteen question multiple choice exam is created with four possible answers for each of the questions. The test is then administered to a student. Determine the probability that the student will correctly answer more than seven questions if the student randomly selects answers from the response options?
A:
X ~ Binomial(15, 0.25)
P(X > 7) = sum%28%28matrix%282%2C1%2C15%2Cx%29%29%280.25%5Ex%29%280.75%5E%2815-x%29%29%2Cx+=+8%2C+15%29 = highlight%280.017%29