document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=696632>Question 696632</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A survey was conducted to measure the height of men. In the survey, respondents were grouped by age. In the 20-29 group the groups were normally distributed, with a mean of 68.4 inches and a standard deviation of 4 inches. A study participant is randomly selected. Complete parts a through c<BR>\n" );
document.write( "a. Find the probability that his height is less than 66 inches<BR>\n" );
document.write( "b. FInd the probability that the height is between 66 and 71 inches<BR>\n" );
document.write( "c. Find the probability that the height is more than 71 inches </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #429185 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=429185\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A survey was conducted to measure the height of men. In the survey, respondents were grouped by age. In the 20-29 group the groups were normally distributed, with a mean of 68.4 inches and a standard deviation of 4 inches. A study participant is randomly selected. Complete parts a through c<BR>\n" );
document.write( "a. Find the probability that his height is less than 66 inches<BR>\n" );
document.write( "z(66) = (66-68.4)/4 = -0.6<BR>\n" );
document.write( "P(x < 66) = P(z < -0.6) = normalcdf(-100,-0.6) = 0.2743<BR>\n" );
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document.write( "b. FInd the probability that the height is between 66 and 71 inches<BR>\n" );
document.write( "z(71) = (71-68.4)/4 = 0.65<BR>\n" );
document.write( "P(66< x <71) = P(-0.6< z <0.65) = normalcdf(-0.6,0.65) = 0.4675<BR>\n" );
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document.write( "c. Find the probability that the height is more than 71 inches<BR>\n" );
document.write( "P(x > 71) = P(z > 0.65) = normalcdf(0.65,100) = 0.2578<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );