document.write( "Question 1153909: Use the normal approximation to the binomial distribution to find the probability that at most 40 of 225 loan applications received by a bank will be refused, if the probability is 0.12 that such application will be refused. (6marks)
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #776614 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The desired approximation is the probability that x lies below 40.5,\r\n" );
document.write( "using those values of the mean and standard deviation. \r\n" );
document.write( "\r\n" );
document.write( "\"P%28x%3C40.5%29\"\r\n" );
document.write( "\r\n" );
document.write( "Get the z-scores for that value and we find that it equals:\r\n" );
document.write( "\r\n" );
document.write( "\"P%28z%3C2.77%29\"\r\n" );
document.write( "\r\n" );
document.write( "Look up z=2.7 and go across to the column for 0.07 \r\n" );
document.write( "\r\n" );
document.write( "There are two kinds of normal tables in use today.\r\n" );
document.write( "\r\n" );
document.write( "If you read 0.9972, that's the answer\r\n" );
document.write( "\r\n" );
document.write( "If you read 0.4972, add 0.5000 and get 0.9972.\r\n" );
document.write( "\r\n" );
document.write( "The TI-83 or TI-84 calculator gives a more accurate answer than can\r\n" );
document.write( "be gotten through tables.  But they both round to 1.00  So \"almost certain\"\r\n" );
document.write( "is about as close as you're going to get.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );