document.write( "Question 1198942: A person with tuberculosis is given a chest? x-ray. Four tuberculosis? x-ray specialists examine each? x-ray independently. If each specialist can detect tuberculosis 89?% of the time when it is? present, what is the probability that at least 1 of the specialists will detect tuberculosis in this? person? \n" ); document.write( "

Algebra.Com's Answer #832632 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "A person with tuberculosis is given a chest? x-ray.
\n" ); document.write( "Four tuberculosis? x-ray specialists examine each? x-ray independently.
\n" ); document.write( "If each specialist can detect tuberculosis 89?% of the time when it is
\n" ); document.write( "present, what is the probability that at least 1 of the specialists
\n" ); document.write( "will detect tuberculosis in this? person?
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document.write( "The solution is in two steps.\r\n" );
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document.write( "Step 1.  Then the probability that no one of 4 specialists will detect \r\n" );
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document.write( "         tuberculosis is   = }}}0.11^4}}} = 0.00014641   (rounded).\r\n" );
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document.write( "Step 2.  The probability under the problem's question is the COMPLEMENT to it\r\n" );
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document.write( "         P = 1 -  = 1 - 0.00014641 = 0.999853.    ANSWER\r\n" );
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