document.write( "Question 866978: The number of candies put in each package is normally distributed. The mean number of candies per package is 200 with a standard deviation of 10. A package of candies will be accepted only if there are between 175-200 candies in the package. Out of 5000 packages, about how many will have to be rejected? \n" ); document.write( "
Algebra.Com's Answer #522615 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The number of candies put in each package is normally distributed. The mean number of candies per package is 200 with a standard deviation of 10. A package of candies will be accepted only if there are between 175-200 candies in the package. Out of 5000 packages, about how many will have to be rejected? \n" ); document.write( "----- \n" ); document.write( "z(175) = (175-200)/10 = -25/10 = -2.5 \n" ); document.write( "---- \n" ); document.write( "z(200) = 0 \n" ); document.write( "----------------------- \n" ); document.write( "P(x < 175) = P(z < -2.5) = 0.0062 \n" ); document.write( "P(x > 200) = P(z > 0.5) = 0.5 \n" ); document.write( "--------------------- \n" ); document.write( "Sum = 0.5062 \n" ); document.write( "----- \n" ); document.write( "# rejected = 0.5062*5000 = 2531 \n" ); document.write( "====================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |