document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201061>Question 1201061</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that people's heights (in centimeters) are normally distributed, with a mean of 170 and a standard deviation of 5. We find the heights of 90 people. (You may need to use the standard normal distribution table. Round your answers to the nearest whole number.)<BR>\n" );
document.write( "(a) How many would you expect to be between 170 and 180 cm tall?\r<BR>\n" );
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document.write( "(b) How many would you expect to be taller than 177 cm?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #835942 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=835942\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the probabiliy of heights between 170 and 180 tall is equal to .4772499375.<BR>\n" );
document.write( "the probability of heights above 177 is equal to .0807567112.\r<BR>\n" );
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document.write( "out of 90 people, .4772499375 * 90 = 43 who are expected to be between 170 and 180 cm tall.\r<BR>\n" );
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document.write( "out of 90 people, .0807567112 * 90 = 7 who are expected to be taller than 177 cm.\r<BR>\n" );
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document.write( "here are the probabilities using the calculator at <a  rel=nofollow HREF= \"https://davidmlane.com/hyperstat/z_table.html\" target = \"_blank\">https://davidmlane.com/hyperstat/z_table.html</a>\r<BR>\n" );
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document.write( "i used the ti-84 plus, which gives you the answer to more decimal places.<BR>\n" );
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