document.write( "Question 1138975: A poll was taken of 13,863 working adults aged 40-70 to determine their level of education. The participants were classified by sex and by level of education. The results were as follows.\r
\n" ); document.write( "\n" ); document.write( " Education level Male Female total
\n" ); document.write( "Highschool or less 3043 2133 5176
\n" ); document.write( "Bachelor's Degree 3428 4150 7578
\n" ); document.write( "Master's Degree 544 423 977
\n" ); document.write( "PH.D 72 60 132\r
\n" ); document.write( "\n" ); document.write( "Total 7097 6766 13863\r
\n" ); document.write( "\n" ); document.write( "A person is selected at random. Compute the probability that the person is male or has a Ph.D. \n" ); document.write( "

Algebra.Com's Answer #756791 by ikleyn(52814) $\"\"$ $\"About$

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document.write( "A poll was taken of 13,863 working adults aged 40-70 to determine their level of education. \r\n" );
document.write( "The participants were classified by sex and by level of education. The results were as follows.\r\n" );
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document.write( "  Education level         Male         Female         total\r\n" );
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document.write( "Highschool or less        3043         2133            5176\r\n" );
document.write( "Bachelor's Degree         3428         4150            7578\r\n" );
document.write( "Master's Degree            544          423             977\r\n" );
document.write( "PH.D                        72           60             132\r\n" );
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document.write( "Total                     7097         6766            13863\r\n" );
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document.write( "A person is selected at random. Compute the probability that the person is male or has a Ph.D.

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document.write( "This probability is the ratio of two quabtities.\r\n" );
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document.write( "One quantity - the total number of working adults, which is 13,863, according to the condition.\r\n" );
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document.write( "This quantity goes to the denominator.\r\n" );
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document.write( "The numerator is the sum of numbers from the table: number of male (7097, from the table) PLUS \r\n" );
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document.write( "                                                the number of female with PhD (60, the table).\r\n" );
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document.write( "So, the probability under the question is\r\n" );
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document.write( "    P =  =  0.5163 = 51.63%.    ANSWER \r\n" );
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