document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1026014>Question 1026014</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The mean length of angelfish (a popular tropical fish for aquariums) is 9.6 cm with a standard deviation of 2 cm. Assuming that the length of angelfish is a normal random variable, find the probability that a randomly selected angelfish would be between 5.86 and 12.72 cm in length.  Enter your answer as a decimal number correct to four decimal places. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #641273 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=641273\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd<BR>\n" );
document.write( "so (5.86-9.6)/2=3.742=-1.87<BR>\n" );
document.write( "(12.72-9.6)/2=3.12/2=1.56<BR>\n" );
document.write( "we need the probability of -1.87 is less than z which is less than 1.56<BR>\n" );
document.write( "That is 0.9099.<BR>\n" );
document.write( "It makes sense because it is almost the difference between +/- 2 SD, which is 0.9544.<BR>\n" );
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