SOLUTION: A quiz consists of 10 multiple-choice questions, each with 5 possible answers. For someone who makes random guesses for all of the answers, find the probability of passing if the m

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Question 874888: A quiz consists of 10 multiple-choice questions, each with 5 possible answers. For someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 60 %.
Answer by reviewermath(1029) About Me  (Show Source):
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Q:
A quiz consists of 10 multiple-choice questions, each with 5 possible answers. For someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 60 %.
A:
Let X = number of correct answers
X ~ Binomial(10, 0.2)
P(X ≥ 6) = sum%28%28matrix%282%2C1%2C10%2Cx%29%29%280.2%5Ex%29%280.8%5E%2810-x%29%29%2C+x+=+6%2C+10%29 = highlight%280.00637%29