document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=601093>Question 601093</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4. X is normally distributed with mean 12 and standard deviation 4.<BR>\n" );
document.write( "(a) (3 points)Find the probability that X will be more than 10.<BR>\n" );
document.write( "p(X > 10) = 1 – p (X <= 10) = 0.69<BR>\n" );
document.write( "(b) (3 points) Find the probability that X will be less than 13.5<BR>\n" );
document.write( "P(X < 13.5) = P(X < = 13.5) = 0.646<BR>\n" );
document.write( "(c) (4 points) Find the probability that X will be between 10 and 14.5<BR>\n" );
document.write( "P(10 < X < 14.5) = P(X < 14.5) - P(X < 10) = P(X <= 14.5) - P(X <= 10) – <BR>\n" );
document.write( "0.7340145 - 0.3085375<BR>\n" );
document.write( "(d) (4 points) Find a such that P(X<a)=.85<BR>\n" );
document.write( "0.85 = 85% is the quantile.<BR>\n" );
document.write( " P(X < 16.14573) =<BR>\n" );
document.write( "P(X <= 16.14573) = 0.85\r<BR>\n" );
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document.write( "(e)(4 points) Find b such that P(X> b)=.25<BR>\n" );
document.write( " P(X > b) = 1 - P(X <= b) = 0.25<BR>\n" );
document.write( "= > 1 - 0.25 - P(X <= b) = 0; <BR>\n" );
document.write( "0.75 - P(X <= b) = 0<BR>\n" );
document.write( " 0.75 = P(X <= b);<BR>\n" );
document.write( " P(X <= b) = 0.75.<BR>\n" );
document.write( "= > P(X <= 14.69796) = 0.75.<BR>\n" );
document.write( "Did I do these right? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #379649 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=379649\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)\r<BR>\n" );
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document.write( "Correct.\r<BR>\n" );
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document.write( "b)\r<BR>\n" );
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document.write( "Correct.\r<BR>\n" );
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document.write( "c)\r<BR>\n" );
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document.write( "Answer should be 0.4255, but it looks like you know this (just forgot to write it here)\r<BR>\n" );
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document.write( "d)\r<BR>\n" );
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document.write( "Correct.\r<BR>\n" );
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document.write( "e)\r<BR>\n" );
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document.write( "Correct. </SPAN>\n" );
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