document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=883064>Question 883064</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 50 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 175 cm tall?\r<BR>\n" );
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document.write( "(b) How many would you expect to be taller than 176 cm?<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 #533328 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=533328\">put this solution on YOUR website!</A><BR><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 50 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 175 cm tall?<BR>\n" );
document.write( "z(170) = (170-170)/5 = 0<BR>\n" );
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document.write( "z(175) = (175-170)/(5) = 1<BR>\n" );
document.write( "P(170<= x <=175) = P(0<= z <= 1) = 0.3413<BR>\n" );
document.write( "# expected between 170 and 175 cm is 0.3413*50 = 17.07<BR>\n" );
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document.write( "(b) How many would you expect to be taller than 176 cm?<BR>\n" );
document.write( "z(176) = (176-170)/(5) = 1/5<BR>\n" );
document.write( "P(x > 176) = P(z > 1/5) = normalcdf(1/5,100) = 0.42<BR>\n" );
document.write( "# expected is 0.42*50 = 21<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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