document.write( "Question 824072: The breaking strength (in pounds) of a certain new synthetic is normally distributed, with a mean of 175 and a variance of 16. The material is considered defective if the breaking strength is less than 165.8 pounds. What is the probability that a single, randomly selected piece of material will be defective? \n" ); document.write( "
Algebra.Com's Answer #496048 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The breaking strength (in pounds) of a certain new synthetic is normally distributed, with a mean of 175 and a variance of 16. The material is considered defective if the breaking strength is less than 165.8 pounds. What is the probability that a single, randomly selected piece of material will be defective? \n" ); document.write( "----- \n" ); document.write( "z(165.8) = (165.8-175)/16 = -0.5750 \n" ); document.write( "----- \n" ); document.write( "P(x < 165.8) = P(z < -0.575 = normalcdf(-100,-0.575) = 0.2826 \n" ); document.write( "========== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |