document.write( "Question 1186149: Can you help me with this question please.
\n" ); document.write( "Data on college graduates' employment indicate that 40% of the graduates find a part-time job within a year of their graduation, 35% of them find a full-time job and the rest of them are unemployed.\r
\n" ); document.write( "\n" ); document.write( "Round your final answer to 1 decimal place and express your answer in percent form (i.e. 30.0% instead of 0.3)
\n" ); document.write( "If we randomly select 4 graduate students within a year of their graduation, what is the probability that at least one of them has a job (full-time or part-time)? \n" ); document.write( "

Algebra.Com's Answer #817016 by ikleyn(52776) $\"\"$ $\"About$

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\n" ); document.write( "Data on college graduates' employment indicate that 40% of the graduates find a part-time job within a year of their graduation,
\n" ); document.write( "35% of them find a full-time job and the rest of them are unemployed.
\n" ); document.write( "Round your final answer to 1 decimal place and express your answer in percent form (i.e. 30.0% instead of 0.3)
\n" ); document.write( "If we randomly select 4 graduate students within a year of their graduation,
\n" ); document.write( "what is the probability that at least one of them has a job (full-time or part-time)?
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document.write( "The probability that one single college graduate student has a job  within a year of the graduation is  0.4 + 0.35 = 0.75.\r\n" );
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document.write( "The probability that one single college graduate student is unemployed  within a year of the graduation is  \r\n" );
document.write( "the complement to it, i.e.  1 - 0.75 = 0.25.\r\n" );
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document.write( "The probability that of 4 randomly selected college graduate students all 4 are unemployed is, therefore,\r\n" );
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document.write( "    P = 0.25^4 = 0.0039\r\n" );
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document.write( "The probability that of 4 randomly selected college graduate students at least one has has a job is the COMPLEMENT to it, i.e.\r\n" );
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document.write( "    1 - 0.25^4 = 1 - 0.0039 = 0.996 = 99.6%.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved, answered and explained.\r
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