document.write( "Question 1174964: The following table shows the distribution of the number of donations made by a class of students last month:\r
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document.write( "Number of donations made 1 2 3 4 5 6
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document.write( "Number of students 20 5 3 2 4 2\r
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document.write( "If a students is elected at random, find the probabilities of the following:
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document.write( "The student made more than 3 donations last month \n" );
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Algebra.Com's Answer #800472 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Answer: 2/9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------------------------- \n" ); document.write( "Work Shown:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The given table is \n" ); document.write( "
\n" ); document.write( "x = number of donations made \n" ); document.write( "y = number of students\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We have 2+4+2 = 8 students who made more than 3 donations. We find this by adding the values of y that correspond to x = 4, x = 5, x = 6; all of these x values are greater than 3 (to indicate more than 3 donations were made).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are 20+5+3+2+4+2 = 36 students total.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The probability of getting a student who made more than three donations is therefore: \n" ); document.write( "8/36 = (4*2)/(4*9) = 2/9 \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |