A student studying for a vocabulary test knows the meanings of 16 words from a list of 20 words. If the test contains 10 words from the study list, what is the probability that at least 8 of the words on the test are words that the student knows? (Round your answer to three decimal places.)
Number of ways = 20C10
Number of ways for 8 words = 16C8 * 4C2
Number of ways for 9 words = 16C9 * 4C1
Number of ways for 10 words = 16C10 * 4C0
P(X>=8) = P(X=8) +P(X=9) +P(X=10)
=16C8 * 4C2 / 20C10 + 16C9 * 4C1 / 20C10 + 16C10 * 4C0 / 20C10
= 0.417956656 + 0.247678019 + 0.043343653
=0.709
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A student studying for a vocabulary test knows the meanings of 16 words from a list...
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0/1.25 points | Previous Answers TanFin10 7.4.025. 2/6 Submissions Used My Notese b A student studying for a vocabulary test knows the meanings of 10 words from a list of 24 words. If the test contains 10 words from the study list, what is the probability that at least 8 of the words on the test are words that the student knows? (Round your answer to three decimal places) Submit Answer
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