document.write( "Question 1159211: Suppose that 69% of all college seniors have a job prior to graduation. If a random sample of 50 college seniors is taken, approximate the probability that more than 37 have a job prior to graduation.
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document.write( "Use the normal approximation to the binomial with a correction for continuity. \n" );
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Algebra.Com's Answer #782184 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! mean is np=50*0.69=34.5 \n" ); document.write( "variance is np(1-p)=34.5*0.31=10.695 \n" ); document.write( "sd is sqrt(V)=3.27\r \n" ); document.write( "\n" ); document.write( "want a z-value. More than 37 means start greater than 37 and the continuity correction factor has that at 37.5 and greater \n" ); document.write( "z>(37.5-34.5)/3.27 \n" ); document.write( "z>3/3.27 =0.92 \n" ); document.write( "probability z>0.92 is 0.1795\r \n" ); document.write( "\n" ); document.write( "(exact value is 0.1803) \n" ); document.write( " \n" ); document.write( " |