document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=655186>Question 655186</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The time patrons at the Grande Dunes Hotel in the Bahamas spend waiting for an elevator follows a uniform distribution between 0 and 3.5 minutes.\r<BR>\n" );
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document.write( "a.show that the area under the curve is 1.00.<BR>\n" );
document.write( "b.How long does the typical patron wait for elevator service? <BR>\n" );
document.write( "c.What is the standard deviation of the waiting time? <BR>\n" );
document.write( "d.What fraction of the patrons wait for less than a minute? <BR>\n" );
document.write( "e.What fraction of the patrons wait more than 2 minutes? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #409068 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=409068\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.)Find the area under the standard normal curve: <BR>\n" );
document.write( "I. to the right of z = -2.32<BR>\n" );
document.write( "Using a TI-84 I get: normalcdf(-2.32,100) = 0.9898<BR>\n" );
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document.write( "II. to the left of z = -2.32<BR>\n" );
document.write( "normalcdf(-100,-2.32) = 0.0102<BR>\n" );
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document.write( "2.) Assume that the population of heights of male college students is approximately normally distributed with mean m of 70 inches and standard deviation s of 3.75 inches. Show all work. <BR>\n" );
document.write( "(A) Find the proportion of male college students whose height is greater than 68 inches.<BR>\n" );
document.write( "z(68) = (68-70)/3.75 = -0.5333<BR>\n" );
document.write( "P(x > 68) = P(z > -0.5333) = 0.7031<BR>\n" );
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document.write( "2) Find the proportion of male students whose height is less than 68 <BR>\n" );
document.write( "Ans: 1 - 0.7031 = 0.2969<BR>\n" );
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document.write( "3.) The diameters of grapefruits in a certain orchard are normally distributed with a mean of 6.5 inches and a standard deviation of 0.50 inches. Show all work. <BR>\n" );
document.write( "(A) What percentage of the grapefruits in this orchard have diameters less than 6.3 inches?<BR>\n" );
document.write( "z(6.3) = (6.3-6.5)/0.5 = -0.4<BR>\n" );
document.write( "P(x < 6.3) = P(z < -0.4) = normalcdf(-100,-0.4) = 0.3446<BR>\n" );
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document.write( "(B) What percentage of the grapefruits in this orchard are larger than 6.15 inches?<BR>\n" );
document.write( "z(6.15) = (6.15-6.5)/0.5 = 0.7<BR>\n" );
document.write( "P(x > 6.15) = P(z > 0.7) = 0.2420<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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