document.write( "Question 1199995: Please help me understand ... If represents a random variable coming from a normal distribution and P(X<5)=0.47, then P(X>5)=0.53. True or False. Step by step please, thank you so much.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #833985 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
the normal distribution curve has a total area under it of 1.
\n" ); document.write( "if p(x < 5) = .47, then p(x > 5) = 1 - .47 = .53.
\n" ); document.write( "that is true.
\n" ); document.write( "at any point along the normal distribution curve, the area below the point is equal to 1 minus the area above the point since the total area is always equal to 1.
\n" ); document.write( "here's an example.
\n" ); document.write( "z-score is 1.5
\n" ); document.write( "area above the mean = .0668
\n" ); document.write( "area below the mean = .9332
\n" ); document.write( "area above the mean plus area below the mean = 1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );