document.write( "Question 1151102: A factory has 36 male workers and 64 female workers, with 10 male workers earning less than $900 a month and 17 female workers earning at least $900 a month. At the end of the year, workers earning less than $900 are given a bonus of $350 whereas the others receive a bonus of a month's salary.\r
\n" ); document.write( "\n" ); document.write( "i)Find the probability that a male worker receives a bonus of a month's salary or female worker receives bonus of $350.\r
\n" ); document.write( "\n" ); document.write( "ii) if 4 workers are chosen, find the probability that they are more workers who are earn at least $900 a month if it is known that they are female workers.\r
\n" ); document.write( "\n" ); document.write( "iii) if 3 workers are chosen at random. Find the probability that they are all female workers receives a bonus of $350.\r
\n" ); document.write( "\n" ); document.write( "iv) if 2 workers are randomly chosen, finds the probability that only one workers receives a bonus of $350.\r
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Algebra.Com's Answer #772725 by ikleyn(52863) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "A factory has 36 male workers and 64 female workers, with 10 male workers earning less than $900 a month
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\n" ); document.write( "are given a bonus of $350, whereas the others receive a bonus of a month's salary.\r
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document.write( "i)  A worker is selected randomly\r\n" );
document.write( "    Find the probability that he or she is a male worker receiving a bonus of a month's salary or female worker receives bonus of $350.\r\n" );
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document.write( "    The probability  P =  + .\r\n" );
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document.write( "ii) if 4 workers are chosen, find the probability that they are    workers who    earn at least $900 a month, \r\n" );
document.write( "    if it is known that they are female workers.\r\n" );
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document.write( "    The probability  P =  = .\r\n" );
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document.write( "iii) if 3 workers are chosen at random. Find the probability that they are all female workers  receiving a bonus of $350.\r\n" );
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document.write( "     The probability P = .\r\n" );
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document.write( "iv) if 2 workers are randomly chosen, finds the probability that only one workers receives a bonus of $350.\r\n" );
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document.write( "    In this last question, may I restrict myself, giving only HINT without detailed formula ?\r\n" );
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document.write( "        The probability is the sum of four terms  (man*man) + (man*woman) + (woman*man) + (woman*woman).\r\n" );
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document.write( "    Here the first position in parentheses is the probability for the person who receives only bonus; \r\n" );
document.write( "    the second position is the probability for the person from the opposite category.\r\n" );
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document.write( "    In the last formula, do not forget to include the binomial coefficients (!)\r\n" );
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