document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1124627>Question 1124627</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that x is a normal variable with mean &#956; = 44 and standard deviation &#963; = 6.1, find the following probabilities. (Round your answers to four decimal places.)<BR>\n" );
document.write( "(a)  P(x &#8804; 60)\r<BR>\n" );
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document.write( "(b)  P(x &#8805; 50)\r<BR>\n" );
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document.write( "(c)  P(50 &#8804; x &#8804; 60) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #740994 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=740994\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd<BR>\n" );
document.write( "z<(60-44)/6.1 or <2.62<BR>\n" );
document.write( "a. probability z < 2.62 is 0.9956\r<BR>\n" );
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document.write( ">=50 is z>=(50-44)/6.1 or z>0.98<BR>\n" );
document.write( "b. probability  of this is 0.1635\r<BR>\n" );
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document.write( "c. Between the two is z between 0.98 and 2.62 or 0.1591 </SPAN>\n" );
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