document.write( "Question 1118735: Suppose 40% of the restaurants in a certain part of a town are in violation of the health code. A health inspector randomly selects nine of the restaurants for inspection. (Round your answers to four decimal places.)
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Algebra.Com's Answer #734153 by ikleyn(52810) $\"\"$ $\"About$

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\n" ); document.write( "Suppose 40% of the restaurants in a certain part of a town are in violation of the health code.
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document.write( "(a)  What is the probability that none of the restaurants are in violation of the health code?\r\n" );
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document.write( "     - According to the condition, the probability that one single concrete restaurant does not violate the code is 60% = 0.6.\r\n" );
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document.write( "       Hence, the probability that 9 of the restaurants  do not violate the code is   = 0.01 = 1%.\r\n" );
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document.write( "(b)  What is the probability that one of the restaurants is in violation of the health code?\r\n" );
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document.write( "     This probability is the complement to , which is the probability that all 9 of the restaurant do not violate the code\r\n" );
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document.write( "     (see the solution  (a)).\r\n" );
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document.write( "     So, the answer is  1 - 0.01 = 0.99 = 99%.\r\n" );
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document.write( "(c)  What is the probability that at least two of the restaurants are in violation of the health code?\r\n" );
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document.write( "     The complement event is that none of the 9 restaurants violates the code or there is exactly one \r\n" );
document.write( "     among the 9 restaurants which does violate the code.\r\n" );
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document.write( "     This probability of this complement event is  .\r\n" );
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document.write( "     Thus the probability under the question is   =  = 0.986 = 98.6%.\r\n" );
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