document.write( "Question 1125105: Please help me Thank you in advance
\n" );
document.write( "A major credit card company has determined that the amount its customers charge on their accounts is normally distributed with an average of R2800 per month and a standard deviation of R200.\r
\n" );
document.write( "\n" );
document.write( "2.1) What proportion of customers charge more than R2750 per month on their account (rounded off to three decimals)? [3]
\n" );
document.write( "2.2) What percentage of customers charge between R2410 and R3016 per month on their account (rounded off to two decimals)? [5]
\n" );
document.write( "2.3) If the company has 20, 000 customers, how many customers charge less than R2430 per month on their account (rounded off to zero decimals)? [2]
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #741500 by Theo(13342)![]() ![]() You can put this solution on YOUR website! A major credit card company has determined that the amount its customers charge on their accounts is normally distributed with an average of R2800 per month and a standard deviation of R200.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the mean is 2800 and the standard deviation is 200.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2.1) What proportion of customers charge more than R2750 per month on their account (rounded off to three decimals)? [3]\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the proportion of customers that charge more than 2750 per month is .599.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2.2) What percentage of customers charge between R2410 and R3016 per month on their account (rounded off to two decimals)? [5]\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the proportion of customers that charge between 2410 and 3016 per month is .83.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2.3) If the company has 20,000 customers, how many customers charge less than R2430 per month on their account (rounded off to zero decimals)? [2]\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the proportion of customer who charge less than 2430 is .0322.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "with 20,000 customers that comes out to be .0322 * 20,000 = 644.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the calculator i used can be found at http://davidmlane.com/hyperstat/z_table.html\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this is a very nice calculator that takes the drudgery out of finding your answer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you need to know how to do it manually, i have some tutorials that might help.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "there are other ways to find the answer using technology.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i use the TI-84 Plus Scientific calculator that works good but does require a bit more knowledge on how to use it.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "there are also online calculators that work similar to how you would use the z-score tables.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "these also require a bit more knowledge but require less more work than using the z-score tables and are a bit more accurate.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i confirmed with the TI-84 Plus that the answer is correct.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you need lessons on z-scores and how to use them, the following tutorials might be helpful.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/Probability-and-statistics/change-this-name28108.lesson\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/Probability-and-statistics/THEO-20091109.lesson?content_action=show_source\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's my displays of the use of the online calculator to solve your problem.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |