document.write( "Question 1204048: A large electronics firm employs many disabled workers. The number of workers and type of disability are summarised in the table below:\r
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\n" ); document.write( "\n" ); document.write( " Employee’s Performance
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\n" ); document.write( " Above average Average Below average Total
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\n" ); document.write( "Blind 21 64 17 102
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\n" ); document.write( "Deaf 16 49 14 79
\n" ); document.write( "No Disability 29 93 28 150
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\n" ); document.write( "Total 66 206 59 331
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\n" ); document.write( "\n" ); document.write( "If an employee is selected at random, what is the probability that:\r
\n" ); document.write( "\n" ); document.write( "4.1 The employee will have no disability?
\n" ); document.write( "4.2 The employee will be blind?
\n" ); document.write( "4.3 The employee will perform above average given that he/she is blind?
\n" ); document.write( "4.4 The employee will either be blind or perform above average?
\n" ); document.write( "4.5 Are the events above average performance and no disability independent events? Show calculations to substantiate your answer.
\n" ); document.write( "4.6 A coin is tossed three times. Find the probability of obtaining:
\n" ); document.write( "4.6.1 All heads
\n" ); document.write( "4.6.2 Two heads and one tail
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Algebra.Com's Answer #840070 by ikleyn(52814)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "I will solve the second problem, ONLY, which is 4.6, 4.6.1, 4.6.2.\r
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document.write( "4.6.1.  P = \"%281%2F2%29%2A%281%2F2%29%2A%281%2F2%29\" = \"1%2F8\".    ANSWER\r\n" );
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document.write( "        In wording form: in all, 8 outcomes are possible:\r\n" );
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document.write( "            (1)  H H H\r\n" );
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document.write( "            (2)  H H T\r\n" );
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document.write( "            (3)  H T H\r\n" );
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document.write( "            (4)  H T T\r\n" );
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document.write( "            (5)  T H H\r\n" );
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document.write( "            (6)  T H T\r\n" );
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document.write( "            (7)  T T H\r\n" );
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document.write( "            (8)  T T T\r\n" );
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document.write( "    Of them, only one outcome is favorable: it is (H H H).\r\n" );
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document.write( "    It gives the probability  \"1%2F8\".\r\n" );
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document.write( "4.6.2.  In the list of possible outcomes above, \r\n" );
document.write( "        find all outcomes with two H and one T.\r\n" );
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document.write( "        There are three such outcomes.  They are  (2), (3) and (5).\r\n" );
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document.write( "        Therefore, the probability in this problem is  P = \"3%2F8\".    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Do not pack more than ONE problem per post.\r
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