document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1026360>Question 1026360</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The annual rainfall of a region has a terminal distribution with a mean rainfall of 100 inches and a standard deviation of 12 inches. What is the probability that the mean rainfall during 49 randomly picked years will exceed 101.5 inches? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #641601 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=641601\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The annual rainfall of a region has a terminal distribution with a mean rainfall of 100 inches and a standard deviation of 12 inches. What is the probability that the average mean rainfall during 49 randomly picked years will exceed 101.5 inches? <BR>\n" );
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document.write( "z(101.5) = (101.5-100)/[12/sqrt(49) = 1.5*7/12 = 0.875<BR>\n" );
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document.write( "P(x-bar > 101.5) = P(z < 0.875) = 0.1908<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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