document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=958621>Question 958621</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During September, the average temperature of Laurel Lake is 64.2 degrees and the standard deviatins is 3.2 degrees. Assume the variable is normally distributed. for a random day, find the probability that the temperature will be as follows:\r<BR>\n" );
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document.write( "A.) At most 60 degrees\r<BR>\n" );
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document.write( "B.) Between 65 degrees and 70 degrees </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #585851 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=585851\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> During September, the average temperature of Laurel Lake is 64.2 degrees and the standard deviatins is 3.2 degrees. Assume the variable is normally distributed. for a random day, find the probability that the temperature will be as follows:<BR>\n" );
document.write( " A.) At most 60 degrees<BR>\n" );
document.write( "z(60) = (60-64.2)/3.2 = -1.9375<BR>\n" );
document.write( "P(x <= 60) = P(z <= -1.9375) = 0.02634<BR>\n" );
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document.write( "B.) Between 65 degrees and 70 degrees<BR>\n" );
document.write( "z(65) = (65-64.2)/3.2 = -0.8/3.2 = -8/32 = -1/4<BR>\n" );
document.write( "z(70) = (70-64.2)/3.2 = 1.8125<BR>\n" );
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document.write( "P(65 < x < 70) = P(-1/4< z <1.8125) = normalcdf(-1/4,1.8125) = 0.5638<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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