document.write( "Question 316597: The diameter of a pipe is normally distributed with a mean of 0.4 inch and a variance of 0.0004. What is the probability that the diameter of a randomly selected pipe will exceed 0.44 inch? Express your answer as a percen to two decimal places. \n" ); document.write( "
Algebra.Com's Answer #226511 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Variance=0.0004
\n" ); document.write( "Standard deviation is the square root of variance.
\n" ); document.write( "\"sigma=sqrt%280.0004%29=0.02\"
\n" ); document.write( "Find the z score for 0.44 inches.
\n" ); document.write( "\"z=%280.44-0.4%29%2F0.02=2\"
\n" ); document.write( "P(x<=0.44)=\"P%282%29=0.97725\"
\n" ); document.write( "P(x>0.44)+P(x<=0.44)=1
\n" ); document.write( "P(x>0.44)=1-P(x<=0.44)
\n" ); document.write( "P(x>0.44)=\"1-0.97725\"
\n" ); document.write( "P(x>0.440=\"0.02275\"
\n" ); document.write( "
\n" );