document.write( "Question 1103074: A test consists of 10 true of false questions. To pass the test a student must answer at least eight questions correctly. If the student guesses on each question. What is the probability that the student will pass the test? \n" ); document.write( "

Algebra.Com's Answer #717833 by Fombitz(32388) $\"\"$ $\"About$

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10 questions.
\n" ); document.write( "T/F so the probability of correct answer is 0.5.
\n" ); document.write( "Find P(8), P(9), and P(10).
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\n" ); document.write( " $\"P%28X%29=C%2810%2CX%29%2A%280.5%29%5EX%2A%280.5%29%5E%2810-X%29\"$
\n" ); document.write( " $\"P%28X%29=C%2810%2CX%29%2A%280.5%29%5E%2810%29\"$
\n" ); document.write( " $\"P%28X%29=C%2810%2CX%29%2F2%5E10\"$
\n" ); document.write( " $\"P%288%29=C%2810%2C8%29%2F2%5E10=45%2F1024\"$
\n" ); document.write( " $\"P%288%29=C%2810%2C9%29%2F2%5E10=10%2F1024\"$
\n" ); document.write( " $\"P%288%29=C%2810%2C10%29%2F2%5E10=1%2F1024\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"P=P%288%29%2BP%289%29%2BP%2810%29\"$
\n" ); document.write( " $\"P=%2845%2B10%2B1%29%2F1024\"$
\n" ); document.write( " $\"P=56%2F1024\"$
\n" ); document.write( " $\"P=7%2F128\"$ \n" ); document.write( "

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