document.write( "Question 616853: The breaking strength (in pounds) of a certain new synthetic is normally distributed with a mean of 174 and a variance of 9. The material is considered defective if the breaking strength is less than 168 pounds. What is the probability that a single, randomly selected piece of material will be defective. Give the answer to two decimal places. Could someone please explain this to me step by step. \n" ); document.write( "
Algebra.Com's Answer #387961 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi,
\n" ); document.write( "The breaking strength (in pounds) of a certain new synthetic is \"normally\" \"distributed\"
\n" ); document.write( "with a mean of 174 and a variance of 9.
\n" ); document.write( "P(defective) = P( z < (168-174)/9) = P(z < -2/3) NORMSDIST(-.6667) = .25
\n" ); document.write( "P(defective)= .25
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