document.write( "Question 373584: X is a normal variate with mean 30 and standard deviation
\n" ); document.write( "5. Find the probabilities that\r
\n" ); document.write( "\n" ); document.write( "1. 26< X <40
\n" ); document.write( "2. x>45 \n" ); document.write( "

Algebra.Com's Answer #265908 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!


\n" );
document.write( "Hi,
\n" );
document.write( "*Note: 
\n" );
document.write( "P(26< X <40)
\n" );
document.write( "z = 40-30/5 = 2
\n" );
document.write( "z = 26-30/5 = -.8
\n" );
document.write( "using the excel normdist functon
\n" );
document.write( "NORMSDIST(2)   = .97725
\n" );
document.write( "NORMSDIST(-0.8)= .21186
\n" );
document.write( "P(26< X <40) = .97725 - .21186  = .76539\r
\n" );
document.write( "\n" );
document.write( "P(x>45)
\n" );
document.write( "z = 45-40/5 = 1
\n" );
document.write( "NORMSDIST(1)= .841345
\n" );
document.write( "P(x>45) = 1 - .841345 = .15866 \n" );
document.write( "

\n" );