document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1050946>Question 1050946</A>: <I><SPAN STYLE=\"word-break: break-all;\">   I'm stuck on this one! <BR>\n" );
document.write( "The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a standard deviation of 8.3 cm.<BR>\n" );
document.write( "A) Find  the probability that an individual distance is greater than 217.50 cm. <BR>\n" );
document.write( "B)  find the probability that the mean for 25 randomly selected distances is greater than 202.80 cm.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #666544 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=666544\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 205 cm and a standard deviation of 8.3 cm.<BR>\n" );
document.write( "a. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=blue+%28x+-+mu%29%2Fblue%28sigma%29 ALIGN=MIDDLE  ALT=\"z+=blue+%28x+-+mu%29%2Fblue%28sigma%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "P(x>217.5) = 1 - P(x <= 217.5)<BR>\n" );
document.write( "z = (217.50-205)/8.3 = 1.5<BR>\n" );
document.write( "P(z<=1.5) = normalcdf(-10,1.5)= .84<BR>\n" );
document.write( "P(x > 217.5) = 1 - .84 = .16  0r 16%<BR>\n" );
document.write( "|<BR>\n" );
document.write( "b. n = 25 ,  x&#772; = 202.8\r<BR>\n" );
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document.write( "P(x>202.80) = 1 - P(x <= 202.80)<BR>\n" );
document.write( "z = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=blue+%28202.80+-+205%29%2Fblue%288.3%2Fsqrt%2825%29%29 ALIGN=MIDDLE  ALT=\"z+=blue+%28202.80+-+205%29%2Fblue%288.3%2Fsqrt%2825%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -2.2/1.66 = -1.3253<BR>\n" );
document.write( "P(z <= -1.3253) = .1885<BR>\n" );
document.write( "|P(x > 202.8) = 1 - .1885 = .9115  0r 91.15%<BR>\n" );
document.write( "Check Arithmetic\r<BR>\n" );
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document.write( " </SPAN>\n" );
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