document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=197951>Question 197951</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The heights of a certain species of plant are normally distributed, with mean 22cm and standard deviation 3cm. What is the probability that a plant chosen at random will be between 19.75 and 24.25 cm tall?\r<BR>\n" );
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document.write( "I have no Idea on this.. Please help. thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #148429 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=148429\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The heights of a certain species of plant are normally distributed, with mean 22cm and standard deviation 3cm. <BR>\n" );
document.write( "What is the probability that a plant chosen at random will be between 19.75 and 24.25 cm tall? <BR>\n" );
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document.write( "Find the z-scores of 19.75 and 24.25<BR>\n" );
document.write( "z(19.75) = (19.75-22)/3 = -2.25/3 = -0.75<BR>\n" );
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document.write( "z(24.25) = (24.25-22)/3 = 2.25/3 = 0.75<BR>\n" );
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document.write( "P(19.75 < x < 24.25) = P(-.75 < z < 0.75) = 0.1295<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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