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
\n" ); document.write( "\n" ); document.write( "What is the minimum amount requested on the largest 3% of loans?
\n" ); document.write( "(66,000 + ?how?do?I?find?this? (20,000))
\n" ); document.write( "What is the maximum amount requested on the smallest 10% of loans?
\n" ); document.write( "(66,000 - ?How?do?I?find?this? (20,000))\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #733528 by rothauserc(4718)\"\" \"About 
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( "
\n" );