document.write( "Question 1118243: the amount requested for home loans followed the normal distribution with a mean of $70 000 and a standard deviation of $20 000.\r
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document.write( "What is the minimum amount requested on the largest 3% of loans?
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document.write( "(66,000 + ?how?do?I?find?this? (20,000))
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document.write( "What is the maximum amount requested on the smallest 10% of loans?
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document.write( "(66,000 - ?How?do?I?find?this? (20,000))\r
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Algebra.Com's Answer #733528 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! What is the minimum amount requested on the largest 3% of loans? \n" ); document.write( ": \n" ); document.write( "1 - 0.03 = 0.97 \n" ); document.write( ": \n" ); document.write( "we look in the table of z-values for the probability 0.97 \n" ); document.write( ": \n" ); document.write( "the associated z-value for 0.97 is 1.88, we know that \n" ); document.write( ": \n" ); document.write( "(X - 70000)/20000 = 1.88 \n" ); document.write( ": \n" ); document.write( "X - 70000 = 37600 \n" ); document.write( ": \n" ); document.write( "X = 107,600 \n" ); document.write( ": \n" ); document.write( "********************************************************** \n" ); document.write( "the minimum requested for the largest 3% loans is $107,600 \n" ); document.write( "********************************************************** \n" ); document.write( ": \n" ); document.write( "What is the maximum amount requested on the smallest 10% of loans? \n" ); document.write( ": \n" ); document.write( "we look in the table of z-values for the probability 0.10 \n" ); document.write( ": \n" ); document.write( "the associated z-value for the largest of the smallest of the 10% loans is -1.29 \n" ); document.write( ": \n" ); document.write( "(X - 70000)/20000 = -1.29 \n" ); document.write( ": \n" ); document.write( "X - 70000 = -25800 \n" ); document.write( ": \n" ); document.write( "X = 44200 \n" ); document.write( ": \n" ); document.write( "*********************************************************** \n" ); document.write( "the maximum requested for the smallest 10% loans is $44,200 \n" ); document.write( "*********************************************************** \n" ); document.write( ": \n" ); document.write( " |